76837488 has 160 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 20208384.

The previous prime is 76837471. The next prime is 76837511. The reversal of 76837488 is 88473867.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1806336) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 76837488.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 213853 + ... + 214211.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^76837488 is an apocalyptic number.

76837488 is a gapful number since it is divisible by the number (78) 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 76837488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

76837488 is an abundant number, since it is smaller than the sum of its proper divisors (173146512).

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

76837488 is a wasteful number, since it uses less digits than its factorization.

76837488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 76837488 is about 8765.6995157261. The cubic root of 76837488 is about 425.1325777848.

The spelling of 76837488 in words is "seventy-six million, eight hundred thirty-seven thousand, four hundred eighty-eight".