877876496640 has 2592 divisors, whose sum is σ = 4014632958336. Its totient is φ = 180592312320.

The previous prime is 877876496621. The next prime is 877876496723. The reversal of 877876496640 is 46694678778.

It is a happy number.

877876496640 is a `hidden beast` number, since 8 + 7 + 7 + 8 + 76 + 496 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20415732459 + ... + 20415732501.

It is an arithmetic number, because the mean of its divisors is an integer number (1548855308).

Almost surely, 2^877876496640 is an apocalyptic number.

877876496640 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 877876496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007316479168).

877876496640 is an abundant number, since it is smaller than the sum of its proper divisors (3136756461696).

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

877876496640 is a wasteful number, since it uses less digits than its factorization.

877876496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 877876496640 in words is "eight hundred seventy-seven billion, eight hundred seventy-six million, four hundred ninety-six thousand, six hundred forty".