877996592640 has 640 divisors, whose sum is σ = 3207394713600. Its totient is φ = 227521658880.

The previous prime is 877996592593. The next prime is 877996592657. The reversal of 877996592640 is 46295699778.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1017376849 + ... + 1017377711.

It is an arithmetic number, because the mean of its divisors is an integer number (5011554240).

Almost surely, 2^877996592640 is an apocalyptic number.

877996592640 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 877996592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603697356800).

877996592640 is an abundant number, since it is smaller than the sum of its proper divisors (2329398120960).

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

877996592640 is a wasteful number, since it uses less digits than its factorization.

877996592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 877996592640 in words is "eight hundred seventy-seven billion, nine hundred ninety-six million, five hundred ninety-two thousand, six hundred forty".