76888140 has 48 divisors (see below), whose sum is σ = 246043392. Its totient is φ = 17574336.

The previous prime is 76888139. The next prime is 76888157. The reversal of 76888140 is 4188867.

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 Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 76888092 and 76888101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91114 + ... + 91953.

It is an arithmetic number, because the mean of its divisors is an integer number (5125904).

Almost surely, 2^76888140 is an apocalyptic number.

76888140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76888140 is an abundant number, since it is smaller than the sum of its proper divisors (169155252).

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

76888140 is a wasteful number, since it uses less digits than its factorization.

76888140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183086 (or 183084 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 76888140 is about 8768.5882558140. The cubic root of 76888140 is about 425.2259744061.

It can be divided in two parts, 76888 and 140, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 76888140 in words is "seventy-six million, eight hundred eighty-eight thousand, one hundred forty".