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720770816 = 2841431597
BaseRepresentation
bin101010111101100…
…001011100000000
31212020020221200102
4222331201130000
52434004131231
6155304341532
723601310433
oct5275413400
91766227612
10720770816
1133a946867
121814748a8
13b643260c
146ba2381a
1543426acb
hex2af61700

720770816 has 72 divisors (see below), whose sum is σ = 1509036144. Its totient is φ = 343203840.

The previous prime is 720770807. The next prime is 720770851. The reversal of 720770816 is 618077027.

It is a self number, because there is not a number n which added to its sum of digits gives 720770816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450530 + ... + 452126.

Almost surely, 2720770816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754518072).

720770816 is an abundant number, since it is smaller than the sum of its proper divisors (788265328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

720770816 is a wasteful number, since it uses less digits than its factorization.

720770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 720770816 is about 26847.1751959121. The cubic root of 720770816 is about 896.6006813949.

The spelling of 720770816 in words is "seven hundred twenty million, seven hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 256 328 344 656 688 1312 1376 1597 1763 2624 2752 3194 3526 5248 5504 6388 7052 10496 11008 12776 14104 25552 28208 51104 56416 65477 68671 102208 112832 130954 137342 204416 225664 261908 274684 408832 451328 523816 549368 1047632 1098736 2095264 2197472 2815511 4190528 4394944 5631022 8381056 8789888 11262044 16762112 17579776 22524088 45048176 90096352 180192704 360385408 720770816