76448880 has 80 divisors (see below), whose sum is σ = 263331360. Its totient is φ = 20385792.

The previous prime is 76448863. The next prime is 76448899. The reversal of 76448880 is 8884467.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15537 + ... + 19856.

It is an arithmetic number, because the mean of its divisors is an integer number (3291642).

Almost surely, 2^76448880 is an apocalyptic number.

It is an amenable number.

76448880 is an abundant number, since it is smaller than the sum of its proper divisors (186882480).

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

76448880 is a wasteful number, since it uses less digits than its factorization.

76448880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35415 (or 35403 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 76448880 is about 8743.5050180119. The cubic root of 76448880 is about 424.4146590171.

The spelling of 76448880 in words is "seventy-six million, four hundred forty-eight thousand, eight hundred eighty".