77167749120 has 1536 divisors, whose sum is σ = 346448793600. Its totient is φ = 14155776000.

The previous prime is 77167749091. The next prime is 77167749173. The reversal of 77167749120 is 2194776177.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 764037070 + ... + 764037170.

It is an arithmetic number, because the mean of its divisors is an integer number (225552600).

Almost surely, 2^77167749120 is an apocalyptic number.

77167749120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77167749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224396800).

77167749120 is an abundant number, since it is smaller than the sum of its proper divisors (269281044480).

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

77167749120 is a wasteful number, since it uses less digits than its factorization.

77167749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The spelling of 77167749120 in words is "seventy-seven billion, one hundred sixty-seven million, seven hundred forty-nine thousand, one hundred twenty".