76358832 has 160 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 21196800.

The previous prime is 76358813. The next prime is 76358833. The reversal of 76358832 is 23885367.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76358833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421782 + ... + 421962.

Almost surely, 2^76358832 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 76358832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

76358832 is an abundant number, since it is smaller than the sum of its proper divisors (157626192).

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

76358832 is a wasteful number, since it uses less digits than its factorization.

76358832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 76358832 is about 8738.3540784292. The cubic root of 76358832 is about 424.2479563072.

It can be divided in two parts, 763 and 58832, that added together give a palindrome (59595).

The spelling of 76358832 in words is "seventy-six million, three hundred fifty-eight thousand, eight hundred thirty-two".