76408632 has 48 divisors (see below), whose sum is σ = 208545480. Its totient is φ = 25272000.

The previous prime is 76408627. The next prime is 76408697. The reversal of 76408632 is 23680467.

76408632 is a `hidden beast` number, since 7 + 640 + 8 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×76408632² = 11676558088222848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5382 + ... + 13482.

Almost surely, 2^76408632 is an apocalyptic number.

76408632 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 76408632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104272740).

76408632 is an abundant number, since it is smaller than the sum of its proper divisors (132136848).

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

76408632 is a wasteful number, since it uses less digits than its factorization.

76408632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76408632 is about 8741.2031208524. The cubic root of 76408632 is about 424.3401654916.

The spelling of 76408632 in words is "seventy-six million, four hundred eight thousand, six hundred thirty-two".