76914432 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 20736000.

The previous prime is 76914391. The next prime is 76914463. The reversal of 76914432 is 23441967.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306307 + ... + 306557.

Almost surely, 2^76914432 is an apocalyptic number.

76914432 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 76914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

76914432 is an abundant number, since it is smaller than the sum of its proper divisors (190931328).

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

76914432 is a wasteful number, since it uses less digits than its factorization.

76914432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76914432 is about 8770.0873427806. The cubic root of 76914432 is about 425.2744377418.

The spelling of 76914432 in words is "seventy-six million, nine hundred fourteen thousand, four hundred thirty-two".