78570480 has 80 divisors (see below), whose sum is σ = 244448640. Its totient is φ = 20876544.

The previous prime is 78570469. The next prime is 78570509. The reversal of 78570480 is 8407587.

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

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, 105951 + ... + 106689.

It is an arithmetic number, because the mean of its divisors is an integer number (3055608).

Almost surely, 2^78570480 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 78570480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122224320).

78570480 is an abundant number, since it is smaller than the sum of its proper divisors (165878160).

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

78570480 is a wasteful number, since it uses less digits than its factorization.

78570480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 78570480 is about 8863.9990974729. Note that the first 3 decimals coincide. The cubic root of 78570480 is about 428.3049912190.

The spelling of 78570480 in words is "seventy-eight million, five hundred seventy thousand, four hundred eighty".