76399632 has 160 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 23500800.

The previous prime is 76399619. The next prime is 76399643. The reversal of 76399632 is 23699367.

76399632 is a `hidden beast` number, since 7 + 6 + 3 + 9 + 9 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741693 + ... + 741795.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 2^76399632 is an apocalyptic number.

76399632 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 76399632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

76399632 is an abundant number, since it is smaller than the sum of its proper divisors (160370928).

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

76399632 is a wasteful number, since it uses less digits than its factorization.

76399632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 76399632 is about 8740.6883024165. The cubic root of 76399632 is about 424.3235041479.

It can be divided in two parts, 7639 and 9632, that added together give a palindrome (17271).

The spelling of 76399632 in words is "seventy-six million, three hundred ninety-nine thousand, six hundred thirty-two".