877652160 has 448 divisors, whose sum is σ = 3595567104. Its totient is φ = 176025600.

The previous prime is 877652141. The next prime is 877652177. The reversal of 877652160 is 61256778.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291329 + ... + 2291711.

Almost surely, 2^877652160 is an apocalyptic number.

877652160 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 877652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797783552).

877652160 is an abundant number, since it is smaller than the sum of its proper divisors (2717914944).

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

877652160 is a wasteful number, since it uses less digits than its factorization.

877652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 877652160 is about 29625.1946829046. The cubic root of 877652160 is about 957.4309784886.

The spelling of 877652160 in words is "eight hundred seventy-seven million, six hundred fifty-two thousand, one hundred sixty".