877381632 has 288 divisors, whose sum is σ = 2754591840. Its totient is φ = 278691840.

The previous prime is 877381597. The next prime is 877381643. The reversal of 877381632 is 236183778.

877381632 is a `hidden beast` number, since 8 + 7 + 7 + 3 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20404203 + ... + 20404245.

It is an arithmetic number, because the mean of its divisors is an integer number (9564555).

Almost surely, 2^877381632 is an apocalyptic number.

877381632 is a gapful number since it is divisible by the number (82) 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 877381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377295920).

877381632 is an abundant number, since it is smaller than the sum of its proper divisors (1877210208).

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

877381632 is an equidigital number, since it uses as much as digits as its factorization.

877381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

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

The square root of 877381632 is about 29620.6284875929. The cubic root of 877381632 is about 957.3325953566.

The spelling of 877381632 in words is "eight hundred seventy-seven million, three hundred eighty-one thousand, six hundred thirty-two".