76440480 has 96 divisors (see below), whose sum is σ = 242512704. Its totient is φ = 20238336.

The previous prime is 76440473. The next prime is 76440509. The reversal of 76440480 is 8404467.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 77752 + ... + 78728.

It is an arithmetic number, because the mean of its divisors is an integer number (2526174).

Almost surely, 2^76440480 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 76440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121256352).

76440480 is an abundant number, since it is smaller than the sum of its proper divisors (166072224).

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

76440480 is a wasteful number, since it uses less digits than its factorization.

76440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 76440480 is about 8743.0246482553. The cubic root of 76440480 is about 424.3991139290.

The spelling of 76440480 in words is "seventy-six million, four hundred forty thousand, four hundred eighty".