76925952 has 132 divisors (see below), whose sum is σ = 235667016. Its totient is φ = 24084480.

The previous prime is 76925921. The next prime is 76925971. The reversal of 76925952 is 25952967.

It is a super-2 number, since 2×76925952² = 11835204182212608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76925898 and 76925907.

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, 156427 + ... + 156917.

Almost surely, 2^76925952 is an apocalyptic number.

76925952 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 76925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117833508).

76925952 is an abundant number, since it is smaller than the sum of its proper divisors (158741064).

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

76925952 is a wasteful number, since it uses less digits than its factorization.

76925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 76925952 is about 8770.7440961414. The cubic root of 76925952 is about 425.2956687679.

It can be divided in two parts, 76925 and 952, that added together give a palindrome (77877).

The spelling of 76925952 in words is "seventy-six million, nine hundred twenty-five thousand, nine hundred fifty-two".