79878960 has 240 divisors, whose sum is σ = 318479616. Its totient is φ = 18226944.

The previous prime is 79878959. The next prime is 79878961. The reversal of 79878960 is 6987897.

It is an interprime number because it is at equal distance from previous prime (79878959) and next prime (79878961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79878897 and 79878906.

It is not an unprimeable number, because it can be changed into a prime (79878961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135787 + ... + 136373.

Almost surely, 2^79878960 is an apocalyptic number.

79878960 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 79878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

79878960 is an abundant number, since it is smaller than the sum of its proper divisors (238600656).

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

79878960 is a wasteful number, since it uses less digits than its factorization.

79878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 79878960 is about 8937.5030069925. The cubic root of 79878960 is about 430.6695176714.

The spelling of 79878960 in words is "seventy-nine million, eight hundred seventy-eight thousand, nine hundred sixty".