877147920 has 640 divisors, whose sum is σ = 3642624000. Its totient is φ = 191600640.

The previous prime is 877147913. The next prime is 877147967. The reversal of 877147920 is 29741778.

It is a happy number.

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

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 127 ways as a sum of consecutive naturals, for example, 13091727 + ... + 13091793.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^877147920 is an apocalyptic number.

877147920 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 877147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821312000).

877147920 is an abundant number, since it is smaller than the sum of its proper divisors (2765476080).

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

877147920 is a wasteful number, since it uses less digits than its factorization.

877147920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 877147920 is about 29616.6831363676. The cubic root of 877147920 is about 957.2475848448.

The spelling of 877147920 in words is "eight hundred seventy-seven million, one hundred forty-seven thousand, nine hundred twenty".