76283520 has 128 divisors (see below), whose sum is σ = 247199040. Its totient is φ = 20004864.

The previous prime is 76283513. The next prime is 76283531. The reversal of 76283520 is 2538267.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128344 + ... + 128936.

Almost surely, 2^76283520 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 76283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123599520).

76283520 is an abundant number, since it is smaller than the sum of its proper divisors (170915520).

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

76283520 is a wasteful number, since it uses less digits than its factorization.

76283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 76283520 is about 8734.0437370098. The cubic root of 76283520 is about 424.1084331666.

The spelling of 76283520 in words is "seventy-six million, two hundred eighty-three thousand, five hundred twenty".