78812960 has 48 divisors (see below), whose sum is σ = 191242296. Its totient is φ = 30670848.

The previous prime is 78812933. The next prime is 78812963. The reversal of 78812960 is 6921887.

It can be written as a sum of positive squares in 4 ways, for example, as 71436304 + 7376656 = 8452^2 + 2716^2 .

It is a super-2 number, since 2×78812960² = 12422965327923200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78812963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 737 + ... + 12576.

Almost surely, 2^78812960 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 78812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95621148).

78812960 is an abundant number, since it is smaller than the sum of its proper divisors (112429336).

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

78812960 is a wasteful number, since it uses less digits than its factorization.

78812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 78812960 is about 8877.6663600295. Note that the first 3 decimals coincide. The cubic root of 78812960 is about 428.7451427001.

The spelling of 78812960 in words is "seventy-eight million, eight hundred twelve thousand, nine hundred sixty".