77324625 has 80 divisors (see below), whose sum is σ = 164900736. Its totient is φ = 35316000.

The previous prime is 77324591. The next prime is 77324629. The reversal of 77324625 is 52642377.

It is a happy number.

77324625 is a `hidden beast` number, since 7 + 7 + 3 + 24 + 625 = 666.

It is not a de Polignac number, because 77324625 - 2⁷ = 77324497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77324625.

It is not an unprimeable number, because it can be changed into a prime (77324629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70330 + ... + 71420.

Almost surely, 2^77324625 is an apocalyptic number.

77324625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77324625 is an abundant number, since it is smaller than the sum of its proper divisors (87576111).

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

77324625 is a wasteful number, since it uses less digits than its factorization.

77324625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1106 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 77324625 is about 8793.4421587908. The cubic root of 77324625 is about 426.0291092983.

The spelling of 77324625 in words is "seventy-seven million, three hundred twenty-four thousand, six hundred twenty-five".