877064760 has 384 divisors, whose sum is σ = 3478325760. Its totient is φ = 195955200.

The previous prime is 877064759. The next prime is 877064801. The reversal of 877064760 is 67460778.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1389645 + ... + 1390275.

It is an arithmetic number, because the mean of its divisors is an integer number (9058140).

Almost surely, 2^877064760 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 877064760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739162880).

877064760 is an abundant number, since it is smaller than the sum of its proper divisors (2601261000).

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

877064760 is a wasteful number, since it uses less digits than its factorization.

877064760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 877064760 is about 29615.2791646474. The cubic root of 877064760 is about 957.2173325452.

The spelling of 877064760 in words is "eight hundred seventy-seven million, sixty-four thousand, seven hundred sixty".