77773116456 has 96 divisors (see below), whose sum is σ = 243109900800. Its totient is φ = 22000867200.

The previous prime is 77773116437. The next prime is 77773116467. The reversal of 77773116456 is 65461137777.

It is a happy number.

77773116456 is a `hidden beast` number, since 7 + 7 + 7 + 73 + 116 + 456 = 666.

It is a super-3 number, since 3×77773116456³ (a number of 34 digits) contains 333 as substring.

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, 713016 + ... + 814823.

It is an arithmetic number, because the mean of its divisors is an integer number (2532394800).

Almost surely, 2^77773116456 is an apocalyptic number.

It is an amenable number.

77773116456 is an abundant number, since it is smaller than the sum of its proper divisors (165336784344).

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

77773116456 is a wasteful number, since it uses less digits than its factorization.

77773116456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527959 (or 1527952 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The spelling of 77773116456 in words is "seventy-seven billion, seven hundred seventy-three million, one hundred sixteen thousand, four hundred fifty-six".