78150960 has 160 divisors (see below), whose sum is σ = 272690880. Its totient is φ = 20570112.

The previous prime is 78150899. The next prime is 78150973. The reversal of 78150960 is 6905187.

It is a super-2 number, since 2×78150960² = 12215145097843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209334 + ... + 209706.

It is an arithmetic number, because the mean of its divisors is an integer number (1704318).

Almost surely, 2^78150960 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 78150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136345440).

78150960 is an abundant number, since it is smaller than the sum of its proper divisors (194539920).

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

78150960 is a wasteful number, since it uses less digits than its factorization.

78150960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 78150960 is about 8840.3031622224. The cubic root of 78150960 is about 427.5413317994.

The spelling of 78150960 in words is "seventy-eight million, one hundred fifty thousand, nine hundred sixty".