877242960 has 400 divisors, whose sum is σ = 3439636992. Its totient is φ = 205286400.

The previous prime is 877242937. The next prime is 877242973. The reversal of 877242960 is 69242778.

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 79 ways as a sum of consecutive naturals, for example, 2209482 + ... + 2209878.

Almost surely, 2^877242960 is an apocalyptic number.

877242960 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 877242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719818496).

877242960 is an abundant number, since it is smaller than the sum of its proper divisors (2562394032).

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

877242960 is a wasteful number, since it uses less digits than its factorization.

877242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 877242960 is about 29618.2875939849. The cubic root of 877242960 is about 957.2821565602.

The spelling of 877242960 in words is "eight hundred seventy-seven million, two hundred forty-two thousand, nine hundred sixty".