78682560 has 112 divisors (see below), whose sum is σ = 272564352. Its totient is φ = 19072000.

The previous prime is 78682547. The next prime is 78682601. The reversal of 78682560 is 6528687.

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, 6835 + ... + 14285.

Almost surely, 2^78682560 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 78682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136282176).

78682560 is an abundant number, since it is smaller than the sum of its proper divisors (193881792).

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

78682560 is a wasteful number, since it uses less digits than its factorization.

78682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 78682560 is about 8870.3190472497. The cubic root of 78682560 is about 428.5085520456.

It can be divided in two parts, 786825 and 60, that added together give a triangular number (786885 = T₁₂₅₄).

The spelling of 78682560 in words is "seventy-eight million, six hundred eighty-two thousand, five hundred sixty".