76913928 has 288 divisors, whose sum is σ = 275378400. Its totient is φ = 19813248.

The previous prime is 76913917. The next prime is 76913929. The reversal of 76913928 is 82931967.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76913929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1788675 + ... + 1788717.

It is an arithmetic number, because the mean of its divisors is an integer number (956175).

Almost surely, 2^76913928 is an apocalyptic number.

76913928 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 76913928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137689200).

76913928 is an abundant number, since it is smaller than the sum of its proper divisors (198464472).

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

76913928 is a wasteful number, since it uses less digits than its factorization.

76913928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 76913928 is about 8770.0586086981. The cubic root of 76913928 is about 425.2735088360.

It can be divided in two parts, 76913 and 928, that added together give a square (77841 = 279²).

The spelling of 76913928 in words is "seventy-six million, nine hundred thirteen thousand, nine hundred twenty-eight".