877382600400 has 720 divisors, whose sum is σ = 3405132057600. Its totient is φ = 207904112640.

The previous prime is 877382600389. The next prime is 877382600443. The reversal of 877382600400 is 4006283778.

It is a happy number.

877382600400 is a `hidden beast` number, since 8 + 7 + 7 + 38 + 2 + 600 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 391862481 + ... + 391864719.

It is an arithmetic number, because the mean of its divisors is an integer number (4729350080).

Almost surely, 2^877382600400 is an apocalyptic number.

877382600400 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 877382600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702566028800).

877382600400 is an abundant number, since it is smaller than the sum of its proper divisors (2527749457200).

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

877382600400 is a wasteful number, since it uses less digits than its factorization.

877382600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 877382600400 in words is "eight hundred seventy-seven billion, three hundred eighty-two million, six hundred thousand, four hundred".