77725148256 has 144 divisors (see below), whose sum is σ = 263589790464. Its totient is φ = 21241642752.

The previous prime is 77725148209. The next prime is 77725148309. The reversal of 77725148256 is 65284152777.

77725148256 is a `hidden beast` number, since 7 + 7 + 72 + 514 + 8 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791766 + ... + 884501.

It is an arithmetic number, because the mean of its divisors is an integer number (1830484656).

Almost surely, 2^77725148256 is an apocalyptic number.

It is an amenable number.

77725148256 is an abundant number, since it is smaller than the sum of its proper divisors (185864642208).

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

77725148256 is a wasteful number, since it uses less digits than its factorization.

77725148256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676313 (or 1676302 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 77725148256 in words is "seventy-seven billion, seven hundred twenty-five million, one hundred forty-eight thousand, two hundred fifty-six".