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770668272 = 2432111929883
BaseRepresentation
bin101101111011110…
…111011011110000
31222201011000010100
4231323313123300
53034242341042
6204250032400
725045400163
oct5573673360
91881130110
10770668272
11366027530
12196118700
13c388313a
14744d1ada
15479d124c
hex2def76f0

770668272 has 240 divisors, whose sum is σ = 2565014400. Its totient is φ = 213373440.

The previous prime is 770668193. The next prime is 770668273. The reversal of 770668272 is 272866077.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770668273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872343 + ... + 873225.

It is an arithmetic number, because the mean of its divisors is an integer number (10687560).

Almost surely, 2770668272 is an apocalyptic number.

770668272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770668272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282507200).

770668272 is an abundant number, since it is smaller than the sum of its proper divisors (1794346128).

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

770668272 is a wasteful number, since it uses less digits than its factorization.

770668272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 770668272 is about 27760.9126651124. The cubic root of 770668272 is about 916.8307268376.

The spelling of 770668272 in words is "seven hundred seventy million, six hundred sixty-eight thousand, two hundred seventy-two".