877968360 has 192 divisors, whose sum is σ = 2970639360. Its totient is φ = 224640000.

The previous prime is 877968353. The next prime is 877968389. The reversal of 877968360 is 63869778.

It is a super-2 number, since 2×877968360² = 1541656882322179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 877968297 and 877968306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1684900 + ... + 1685420.

It is an arithmetic number, because the mean of its divisors is an integer number (15472080).

Almost surely, 2^877968360 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 877968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485319680).

877968360 is an abundant number, since it is smaller than the sum of its proper divisors (2092671000).

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

877968360 is a wasteful number, since it uses less digits than its factorization.

877968360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 877968360 is about 29630.5308761082. The cubic root of 877968360 is about 957.5459455714.

The spelling of 877968360 in words is "eight hundred seventy-seven million, nine hundred sixty-eight thousand, three hundred sixty".