80088480 has 96 divisors (see below), whose sum is σ = 280324800. Its totient is φ = 21355776.

The previous prime is 80088467. The next prime is 80088493. The reversal of 80088480 is 8488008.

It is an interprime number because it is at equal distance from previous prime (80088467) and next prime (80088493).

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 4950 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (2920050).

Almost surely, 2^80088480 is an apocalyptic number.

80088480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80088480 is an abundant number, since it is smaller than the sum of its proper divisors (200236320).

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

80088480 is a wasteful number, since it uses less digits than its factorization.

80088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18563 (or 18549 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 80088480 is about 8949.2167255017. The cubic root of 80088480 is about 431.0457331294.

The spelling of 80088480 in words is "eighty million, eighty-eight thousand, four hundred eighty".