77973168 has 80 divisors (see below), whose sum is σ = 247928576. Its totient is φ = 20563200.

The previous prime is 77973149. The next prime is 77973173. The reversal of 77973168 is 86137977.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4558 + ... + 13293.

Almost surely, 2^77973168 is an apocalyptic number.

77973168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77973168 is an abundant number, since it is smaller than the sum of its proper divisors (169955408).

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

77973168 is a wasteful number, since it uses less digits than its factorization.

77973168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17876 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The square root of 77973168 is about 8830.2416727970. The cubic root of 77973168 is about 427.2168693980.

The spelling of 77973168 in words is "seventy-seven million, nine hundred seventy-three thousand, one hundred sixty-eight".