877087612800 has 2304 divisors, whose sum is σ = 3972645734400. Its totient is φ = 188116992000.

The previous prime is 877087612783. The next prime is 877087612801. The reversal of 877087612800 is 8216780778.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877087612801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5380905519 + ... + 5380905681.

It is an arithmetic number, because the mean of its divisors is an integer number (1724238600).

Almost surely, 2^877087612800 is an apocalyptic number.

877087612800 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 877087612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986322867200).

877087612800 is an abundant number, since it is smaller than the sum of its proper divisors (3095558121600).

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

877087612800 is a wasteful number, since it uses less digits than its factorization.

877087612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 877087612800 in words is "eight hundred seventy-seven billion, eighty-seven million, six hundred twelve thousand, eight hundred".