76938820 has 36 divisors (see below), whose sum is σ = 187952940. Its totient is φ = 26378688.

The previous prime is 76938803. The next prime is 76938833. The reversal of 76938820 is 2883967.

It can be written as a sum of positive squares in 2 ways, for example, as 53202436 + 23736384 = 7294^2 + 4872^2 .

It is a hoax number, since the sum of its digits (43) 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 11 ways as a sum of consecutive naturals, for example, 38275 + ... + 40234.

It is an arithmetic number, because the mean of its divisors is an integer number (5220915).

Almost surely, 2^76938820 is an apocalyptic number.

76938820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76938820 is an abundant number, since it is smaller than the sum of its proper divisors (111014120).

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

76938820 is a wasteful number, since it uses less digits than its factorization.

76938820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78532 (or 78523 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 76938820 is about 8771.4776406259. The cubic root of 76938820 is about 425.3193816130.

The spelling of 76938820 in words is "seventy-six million, nine hundred thirty-eight thousand, eight hundred twenty".