76637952 has 216 divisors, whose sum is σ = 242336640. Its totient is φ = 23224320.

The previous prime is 76637941. The next prime is 76637993. The reversal of 76637952 is 25973667.

76637952 is a `hidden beast` number, since 7 + 6 + 637 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76637898 and 76637907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071278 + ... + 2071314.

Almost surely, 2^76637952 is an apocalyptic number.

76637952 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 76637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121168320).

76637952 is an abundant number, since it is smaller than the sum of its proper divisors (165698688).

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

76637952 is a wasteful number, since it uses less digits than its factorization.

76637952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 76637952 is about 8754.3104811287. The cubic root of 76637952 is about 424.7642558793.

The spelling of 76637952 in words is "seventy-six million, six hundred thirty-seven thousand, nine hundred fifty-two".