77425700 has 72 divisors (see below), whose sum is σ = 186550560. Its totient is φ = 27654400.

The previous prime is 77425697. The next prime is 77425717. The reversal of 77425700 is 752477.

It is a happy number.

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, 64304 + ... + 65496.

It is an arithmetic number, because the mean of its divisors is an integer number (2590980).

Almost surely, 2^77425700 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 77425700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93275280).

77425700 is an abundant number, since it is smaller than the sum of its proper divisors (109124860).

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

77425700 is a wasteful number, since it uses less digits than its factorization.

77425700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 77425700 is about 8799.1874624877. The cubic root of 77425700 is about 426.2146566728.

It can be divided in two parts, 77425 and 700, that added together give a 7-th power (78125 = 5⁷).

The spelling of 77425700 in words is "seventy-seven million, four hundred twenty-five thousand, seven hundred".