77716000 has 48 divisors (see below), whose sum is σ = 190958040. Its totient is φ = 31084800.

The previous prime is 77715973. The next prime is 77716003. The reversal of 77716000 is 61777.

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 74166544 = 1884^2 + 8612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77716000.

It is not an unprimeable number, because it can be changed into a prime (77716003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5715 + ... + 13714.

Almost surely, 2^77716000 is an apocalyptic number.

It is an amenable number.

77716000 is an abundant number, since it is smaller than the sum of its proper divisors (113242040).

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

77716000 is a wasteful number, since it uses less digits than its factorization.

77716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 77716000 is about 8815.6678703318. The cubic root of 77716000 is about 426.7466755339.

Adding to 77716000 its reverse (61777), we get a palindrome (77777777).

The spelling of 77716000 in words is "seventy-seven million, seven hundred sixteen thousand".