78425600 has 120 divisors (see below), whose sum is σ = 212350248. Its totient is φ = 28467200.

The previous prime is 78425551. The next prime is 78425603. The reversal of 78425600 is 652487.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78425603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140522 + ... + 141078.

Almost surely, 2^78425600 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 78425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106175124).

78425600 is an abundant number, since it is smaller than the sum of its proper divisors (133924648).

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

78425600 is a wasteful number, since it uses less digits than its factorization.

78425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 78425600 is about 8855.8229431262. The cubic root of 78425600 is about 428.0415716455.

It can be divided in two parts, 784 and 25600, that multiplied together give a square (20070400 = 4480²).

The spelling of 78425600 in words is "seventy-eight million, four hundred twenty-five thousand, six hundred".