77406700167008 has 96 divisors (see below), whose sum is σ = 160288035425280. Its totient is φ = 36745975918080.

The previous prime is 77406700166993. The next prime is 77406700167029. The reversal of 77406700167008 is 80076100760477.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

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, 1195493291 + ... + 1195558037.

It is an arithmetic number, because the mean of its divisors is an integer number (1669667035680).

Almost surely, 2^{77406700167008} 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 77406700167008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80144017712640).

77406700167008 is an abundant number, since it is smaller than the sum of its proper divisors (82881335258272).

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

77406700167008 is a wasteful number, since it uses less digits than its factorization.

77406700167008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87580 (or 87572 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 53.

The spelling of 77406700167008 in words is "seventy-seven trillion, four hundred six billion, seven hundred million, one hundred sixty-seven thousand, eight".