877061317440 has 672 divisors, whose sum is σ = 3569649350400. Its totient is φ = 182238228480.

The previous prime is 877061317423. The next prime is 877061317537. The reversal of 877061317440 is 44713160778.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 877061317440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39831874 + ... + 39853886.

It is an arithmetic number, because the mean of its divisors is an integer number (5311978200).

Almost surely, 2^877061317440 is an apocalyptic number.

877061317440 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 877061317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784824675200).

877061317440 is an abundant number, since it is smaller than the sum of its proper divisors (2692588032960).

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

877061317440 is a wasteful number, since it uses less digits than its factorization.

877061317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22076 (or 22041 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 877061317440 in words is "eight hundred seventy-seven billion, sixty-one million, three hundred seventeen thousand, four hundred forty".