76033536 has 80 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 24885248.

The previous prime is 76033513. The next prime is 76033549. The reversal of 76033536 is 63533067.

It is a junction number, because it is equal to n+sod(n) for n = 76033497 and 76033506.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90205 + ... + 91043.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^76033536 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 76033536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

76033536 is an abundant number, since it is smaller than the sum of its proper divisors (130203264).

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

76033536 is an equidigital number, since it uses as much as digits as its factorization.

76033536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 76033536 is about 8719.7210964572. The cubic root of 76033536 is about 423.6446530267.

The spelling of 76033536 in words is "seventy-six million, thirty-three thousand, five hundred thirty-six".