76829532 has 48 divisors (see below), whose sum is σ = 199299072. Its totient is φ = 22875840.

The previous prime is 76829527. The next prime is 76829549. The reversal of 76829532 is 23592867.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3108 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (4152064).

Almost surely, 2^76829532 is an apocalyptic number.

It is an amenable number.

76829532 is an abundant number, since it is smaller than the sum of its proper divisors (122469540).

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

76829532 is a wasteful number, since it uses less digits than its factorization.

76829532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15938 (or 15936 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 76829532 is about 8765.2456896541. The cubic root of 76829532 is about 425.1179040814.

The spelling of 76829532 in words is "seventy-six million, eight hundred twenty-nine thousand, five hundred thirty-two".