78562960 has 80 divisors (see below), whose sum is σ = 212772096. Its totient is φ = 26417664.

The previous prime is 78562909. The next prime is 78562961. The reversal of 78562960 is 6926587.

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

It is not an unprimeable number, because it can be changed into a prime (78562961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28357 + ... + 31003.

Almost surely, 2^78562960 is an apocalyptic number.

78562960 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 78562960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106386048).

78562960 is an abundant number, since it is smaller than the sum of its proper divisors (134209136).

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

78562960 is a wasteful number, since it uses less digits than its factorization.

78562960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 78562960 is about 8863.5748995538. The cubic root of 78562960 is about 428.2913263910.

It can be divided in two parts, 7856 and 2960, that added together give a square (10816 = 104²).

The spelling of 78562960 in words is "seventy-eight million, five hundred sixty-two thousand, nine hundred sixty".