877167857664 has 416 divisors, whose sum is σ = 3065829703680. Its totient is φ = 242528256000.

The previous prime is 877167857639. The next prime is 877167857681. The reversal of 877167857664 is 466758761778.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 877167857592 and 877167857601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23980189 + ... + 24016739.

Almost surely, 2^877167857664 is an apocalyptic number.

877167857664 is a gapful number since it is divisible by the number (84) 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 877167857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532914851840).

877167857664 is an abundant number, since it is smaller than the sum of its proper divisors (2188661846016).

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

877167857664 is a wasteful number, since it uses less digits than its factorization.

877167857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36622 (or 36594 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 877167857664 in words is "eight hundred seventy-seven billion, one hundred sixty-seven million, eight hundred fifty-seven thousand, six hundred sixty-four".