877406428800 has 2304 divisors, whose sum is σ = 3815193312000. Its totient is φ = 196263936000.

The previous prime is 877406428799. The next prime is 877406428817. The reversal of 877406428800 is 8824604778.

It is a happy number.

877406428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9858499156 + ... + 9858499244.

It is an arithmetic number, because the mean of its divisors is an integer number (1655899875).

Almost surely, 2^877406428800 is an apocalyptic number.

877406428800 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 877406428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907596656000).

877406428800 is an abundant number, since it is smaller than the sum of its proper divisors (2937786883200).

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

877406428800 is a wasteful number, since it uses less digits than its factorization.

877406428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 877406428800 in words is "eight hundred seventy-seven billion, four hundred six million, four hundred twenty-eight thousand, eight hundred".