78408480 has 48 divisors (see below), whose sum is σ = 246988224. Its totient is φ = 20908800.

The previous prime is 78408457. The next prime is 78408493. The reversal of 78408480 is 8480487.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78408480² = 12295779471820800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 81196 + ... + 82155.

It is an arithmetic number, because the mean of its divisors is an integer number (5145588).

Almost surely, 2^78408480 is an apocalyptic number.

It is an amenable number.

78408480 is an abundant number, since it is smaller than the sum of its proper divisors (168579744).

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

78408480 is a wasteful number, since it uses less digits than its factorization.

78408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163369 (or 163361 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 78408480 is about 8854.8562947120. The cubic root of 78408480 is about 428.0104227817.

The spelling of 78408480 in words is "seventy-eight million, four hundred eight thousand, four hundred eighty".