77655051 has 16 divisors (see below), whose sum is σ = 115240320. Its totient is φ = 51681960.

The previous prime is 77655023. The next prime is 77655059. The reversal of 77655051 is 15055677.

It is not a de Polignac number, because 77655051 - 2¹⁵ = 77622283 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77654997 and 77655015.

It is not an unprimeable number, because it can be changed into a prime (77655059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16336 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (7202520).

Almost surely, 2^77655051 is an apocalyptic number.

77655051 is a deficient number, since it is larger than the sum of its proper divisors (37585269).

77655051 is a wasteful number, since it uses less digits than its factorization.

77655051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 77655051 is about 8812.2103356649. The cubic root of 77655051 is about 426.6350872488.

The spelling of 77655051 in words is "seventy-seven million, six hundred fifty-five thousand, fifty-one".