78751296 has 126 divisors (see below), whose sum is σ = 244727730. Its totient is φ = 24201216.

The previous prime is 78751291. The next prime is 78751297. The reversal of 78751296 is 69215787.

It can be written as a sum of positive squares in 3 ways, for example, as 3686400 + 75064896 = 1920^2 + 8664^2 .

It is not an unprimeable number, because it can be changed into a prime (78751291) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96940 + ... + 97748.

Almost surely, 2^78751296 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 78751296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122363865).

78751296 is an abundant number, since it is smaller than the sum of its proper divisors (165976434).

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

78751296 is a wasteful number, since it uses less digits than its factorization.

78751296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 827 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 78751296 is about 8874.1926956766. The cubic root of 78751296 is about 428.6332954497.

The spelling of 78751296 in words is "seventy-eight million, seven hundred fifty-one thousand, two hundred ninety-six".