76882032 has 60 divisors (see below), whose sum is σ = 215946744. Its totient is φ = 25534080.

The previous prime is 76882009. The next prime is 76882033. The reversal of 76882032 is 23028867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76882033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46858 + ... + 48470.

Almost surely, 2^76882032 is an apocalyptic number.

76882032 is a gapful number since it is divisible by the number (72) 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 76882032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107973372).

76882032 is an abundant number, since it is smaller than the sum of its proper divisors (139064712).

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

76882032 is a wasteful number, since it uses less digits than its factorization.

76882032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76882032 is about 8768.2399602201. The cubic root of 76882032 is about 425.2147141128.

The spelling of 76882032 in words is "seventy-six million, eight hundred eighty-two thousand, thirty-two".