76312832 has 36 divisors (see below), whose sum is σ = 152981136. Its totient is φ = 37992960.

The previous prime is 76312829. The next prime is 76312861. The reversal of 76312832 is 23821367.

It is a happy number.

It is a super-3 number, since 3×76312832³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78107 + ... + 79077.

It is an arithmetic number, because the mean of its divisors is an integer number (4249476).

Almost surely, 2^76312832 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 76312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76490568).

76312832 is an abundant number, since it is smaller than the sum of its proper divisors (76668304).

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

76312832 is an equidigital number, since it uses as much as digits as its factorization.

76312832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1280 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 76312832 is about 8735.7216072858. The cubic root of 76312832 is about 424.1627475387.

The spelling of 76312832 in words is "seventy-six million, three hundred twelve thousand, eight hundred thirty-two".