76796928 has 132 divisors (see below), whose sum is σ = 239179668. Its totient is φ = 23592960.

The previous prime is 76796911. The next prime is 76796933. The reversal of 76796928 is 82969767.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 35426304 = 6432^2 + 5952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119488 + ... + 120128.

Almost surely, 2^76796928 is an apocalyptic number.

76796928 is a gapful number since it is divisible by the number (78) 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 76796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119589834).

76796928 is an abundant number, since it is smaller than the sum of its proper divisors (162382740).

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

76796928 is a wasteful number, since it uses less digits than its factorization.

76796928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 659 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 76796928 is about 8763.3856471115. The cubic root of 76796928 is about 425.0577600851.

The spelling of 76796928 in words is "seventy-six million, seven hundred ninety-six thousand, nine hundred twenty-eight".