877494384000 has 1152 divisors, whose sum is σ = 3529538419680. Its totient is φ = 215662694400.

The previous prime is 877494383959. The next prime is 877494384007. The reversal of 877494384000 is 483494778.

877494384000 is a `hidden beast` number, since 8 + 77 + 494 + 3 + 84 + 0 + 0 + 0 = 666.

877494384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (877494384007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1364687679 + ... + 1364688321.

Almost surely, 2^877494384000 is an apocalyptic number.

877494384000 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 877494384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764769209840).

877494384000 is an abundant number, since it is smaller than the sum of its proper divisors (2652044035680).

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

877494384000 is an frugal number, since it uses more digits than its factorization.

877494384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 877494384000 in words is "eight hundred seventy-seven billion, four hundred ninety-four million, three hundred eighty-four thousand".