77775648 has 96 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 24907008.

The previous prime is 77775623. The next prime is 77775661. The reversal of 77775648 is 84657777.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 77775648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342511 + ... + 342737.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 2^77775648 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 77775648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

77775648 is an abundant number, since it is smaller than the sum of its proper divisors (134581728).

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

77775648 is a wasteful number, since it uses less digits than its factorization.

77775648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 2304960, while the sum is 51.

The square root of 77775648 is about 8819.0502890050. The cubic root of 77775648 is about 426.8558254140.

The spelling of 77775648 in words is "seventy-seven million, seven hundred seventy-five thousand, six hundred forty-eight".