76756032 has 112 divisors (see below), whose sum is σ = 231119680. Its totient is φ = 24966144.

The previous prime is 76756021. The next prime is 76756033. The reversal of 76756032 is 23065767.

It is a happy number.

76756032 is a `hidden beast` number, since 7 + 67 + 560 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76756033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73788 + ... + 74820.

Almost surely, 2^76756032 is an apocalyptic number.

76756032 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 76756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115559840).

76756032 is an abundant number, since it is smaller than the sum of its proper divisors (154363648).

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

76756032 is a wasteful number, since it uses less digits than its factorization.

76756032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 76756032 is about 8761.0519916275. The cubic root of 76756032 is about 424.9822959176.

The spelling of 76756032 in words is "seventy-six million, seven hundred fifty-six thousand, thirty-two".