78870960 has 120 divisors (see below), whose sum is σ = 302733600. Its totient is φ = 18026496.

The previous prime is 78870941. The next prime is 78870997. The reversal of 78870960 is 6907887.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2785 + ... + 12864.

It is an arithmetic number, because the mean of its divisors is an integer number (2522780).

Almost surely, 2^78870960 is an apocalyptic number.

78870960 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 78870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151366800).

78870960 is an abundant number, since it is smaller than the sum of its proper divisors (223862640).

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

78870960 is a wasteful number, since it uses less digits than its factorization.

78870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15666 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 78870960 is about 8880.9323834832. The cubic root of 78870960 is about 428.8502908918.

The spelling of 78870960 in words is "seventy-eight million, eight hundred seventy thousand, nine hundred sixty".