877874639040 has 1344 divisors, whose sum is σ = 3740651904000. Its totient is φ = 193629284352.

The previous prime is 877874638969. The next prime is 877874639077. The reversal of 877874639040 is 40936478778.

877874639040 is a `hidden beast` number, since 8 + 7 + 7 + 87 + 463 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×877874639040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10576802839 + ... + 10576802921.

Almost surely, 2^877874639040 is an apocalyptic number.

877874639040 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 877874639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870325952000).

877874639040 is an abundant number, since it is smaller than the sum of its proper divisors (2862777264960).

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

877874639040 is an equidigital number, since it uses as much as digits as its factorization.

877874639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 877874639040 in words is "eight hundred seventy-seven billion, eight hundred seventy-four million, six hundred thirty-nine thousand, forty".