877801881600 has 2880 divisors, whose sum is σ = 4212630374400. Its totient is φ = 174399160320.

The previous prime is 877801881569. The next prime is 877801881653. The reversal of 877801881600 is 6188108778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×877801881600² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30269030386 + ... + 30269030414.

It is an arithmetic number, because the mean of its divisors is an integer number (1462718880).

Almost surely, 2^877801881600 is an apocalyptic number.

877801881600 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 877801881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106315187200).

877801881600 is an abundant number, since it is smaller than the sum of its proper divisors (3334828492800).

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

877801881600 is a wasteful number, since it uses less digits than its factorization.

877801881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 877801881600 in words is "eight hundred seventy-seven billion, eight hundred one million, eight hundred eighty-one thousand, six hundred".