76889088 has 154 divisors (see below), whose sum is σ = 232686584. Its totient is φ = 25380864.

The previous prime is 76889051. The next prime is 76889089. The reversal of 76889088 is 88098867.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76889089) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746445 + ... + 746547.

Almost surely, 2^76889088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116343292).

76889088 is an abundant number, since it is smaller than the sum of its proper divisors (155797496).

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

76889088 is an equidigital number, since it uses as much as digits as its factorization.

76889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 76889088 is about 8768.6423122397. The cubic root of 76889088 is about 425.2277220210.

The spelling of 76889088 in words is "seventy-six million, eight hundred eighty-nine thousand, eighty-eight".