76364120 has 64 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 26043264.

The previous prime is 76364111. The next prime is 76364161. The reversal of 76364120 is 2146367.

It is a hoax number, since the sum of its digits (29) 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, 61829 + ... + 63051.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^76364120 is an apocalyptic number.

76364120 is a gapful number since it is divisible by the number (70) 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 76364120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

76364120 is an abundant number, since it is smaller than the sum of its proper divisors (121042600).

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

76364120 is a wasteful number, since it uses less digits than its factorization.

76364120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 76364120 is about 8738.6566473343. The cubic root of 76364120 is about 424.2577494175.

The spelling of 76364120 in words is "seventy-six million, three hundred sixty-four thousand, one hundred twenty".