76064832 has 168 divisors, whose sum is σ = 232619296. Its totient is φ = 24634368.

The previous prime is 76064827. The next prime is 76064837. The reversal of 76064832 is 23846067.

76064832 is a `hidden beast` number, since 7 + 6 + 0 + 648 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (76064827) and next prime (76064837).

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 (76064837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041948 + ... + 1042020.

Almost surely, 2^76064832 is an apocalyptic number.

76064832 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 76064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116309648).

76064832 is an abundant number, since it is smaller than the sum of its proper divisors (156554464).

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

76064832 is an equidigital number, since it uses as much as digits as its factorization.

76064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

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

The square root of 76064832 is about 8721.5154646426. The cubic root of 76064832 is about 423.7027702080.

The spelling of 76064832 in words is "seventy-six million, sixty-four thousand, eight hundred thirty-two".