Search a number
-
+
768077744 = 2472979691
BaseRepresentation
bin101101110001111…
…110111110110000
31222112021101120212
4231301332332300
53033111441434
6204114323252
725014360500
oct5561767660
91875241525
10768077744
113646181a5
12195289528
13c3186c95
1474019a00
154766d8ce
hex2dc7efb0

768077744 has 30 divisors (see below), whose sum is σ = 1731115764. Its totient is φ = 329175840.

The previous prime is 768077741. The next prime is 768077771. The reversal of 768077744 is 447770867.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 768077692 and 768077701.

It is not an unprimeable number, because it can be changed into a prime (768077741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 489062 + ... + 490629.

Almost surely, 2768077744 is an apocalyptic number.

It is an amenable number.

768077744 is an abundant number, since it is smaller than the sum of its proper divisors (963038020).

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

768077744 is a wasteful number, since it uses less digits than its factorization.

768077744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979713 (or 979700 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 50.

The square root of 768077744 is about 27714.2155580850. The cubic root of 768077744 is about 915.8022939251.

The spelling of 768077744 in words is "seven hundred sixty-eight million, seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 979691 1959382 3918764 6857837 7837528 13715674 15675056 27431348 48004859 54862696 96009718 109725392 192019436 384038872 768077744