76938500 has 24 divisors (see below), whose sum is σ = 168034776. Its totient is φ = 30775200.

The previous prime is 76938469. The next prime is 76938517. The reversal of 76938500 is 583967.

It can be written as a sum of positive squares in 4 ways, for example, as 5299204 + 71639296 = 2302^2 + 8464^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76439 + ... + 77438.

It is an arithmetic number, because the mean of its divisors is an integer number (7001449).

Almost surely, 2^76938500 is an apocalyptic number.

It is an amenable number.

76938500 is an abundant number, since it is smaller than the sum of its proper divisors (91096276).

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

76938500 is a wasteful number, since it uses less digits than its factorization.

76938500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153896 (or 153884 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 76938500 is about 8771.4593996666. The cubic root of 76938500 is about 425.3187919566.

The spelling of 76938500 in words is "seventy-six million, nine hundred thirty-eight thousand, five hundred".