77880625 has 15 divisors (see below), whose sum is σ = 97596103. Its totient is φ = 62128000.

The previous prime is 77880623. The next prime is 77880637. The reversal of 77880625 is 52608877.

It is a happy number.

The square root of 77880625 is 8825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 65658609 + 12222016 = 8103^2 + 3496^2 .

It is not a de Polignac number, because 77880625 - 2¹ = 77880623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77880623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 220449 + ... + 220801.

Almost surely, 2^77880625 is an apocalyptic number.

77880625 is the 8825-th square number.

77880625 is the 4413-rd centered octagonal number.

It is an amenable number.

77880625 is a deficient number, since it is larger than the sum of its proper divisors (19715478).

77880625 is an frugal number, since it uses more digits than its factorization.

77880625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The cubic root of 77880625 is about 427.0477873780.

The spelling of 77880625 in words is "seventy-seven million, eight hundred eighty thousand, six hundred twenty-five".