877738560 has 112 divisors (see below), whose sum is σ = 2950805376. Its totient is φ = 220291072.

The previous prime is 877738549. The next prime is 877738571. The reversal of 877738560 is 65837778.

It is an interprime number because it is at equal distance from previous prime (877738549) and next prime (877738571).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10572 + ... + 43211.

Almost surely, 2^877738560 is an apocalyptic number.

877738560 is a gapful number since it is divisible by the number (80) 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 877738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475402688).

877738560 is an abundant number, since it is smaller than the sum of its proper divisors (2073066816).

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

877738560 is a wasteful number, since it uses less digits than its factorization.

877738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53820 (or 53810 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 877738560 is about 29626.6528652833. The cubic root of 877738560 is about 957.4623953854.

The spelling of 877738560 in words is "eight hundred seventy-seven million, seven hundred thirty-eight thousand, five hundred sixty".