78932560 has 80 divisors (see below), whose sum is σ = 213379200. Its totient is φ = 26592768.

The previous prime is 78932549. The next prime is 78932591. The reversal of 78932560 is 6523987.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31846 + ... + 34234.

It is an arithmetic number, because the mean of its divisors is an integer number (2667240).

Almost surely, 2^78932560 is an apocalyptic number.

78932560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78932560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106689600).

78932560 is an abundant number, since it is smaller than the sum of its proper divisors (134446640).

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

78932560 is a wasteful number, since it uses less digits than its factorization.

78932560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 78932560 is about 8884.3998109045. The cubic root of 78932560 is about 428.9619090904.

The spelling of 78932560 in words is "seventy-eight million, nine hundred thirty-two thousand, five hundred sixty".