1080076132800 has 504 divisors, whose sum is σ = 4489299241856. Its totient is φ = 241132308480.

The previous prime is 1080076132727. The next prime is 1080076132859. The reversal of 1080076132800 is 82316700801.

1080076132800 is a `hidden beast` number, since 10 + 8 + 0 + 0 + 7 + 613 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4209807 + ... + 4458993.

Almost surely, 2^{1080076132800} is an apocalyptic number.

1080076132800 is a gapful number since it is divisible by the number (10) 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 1080076132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244649620928).

1080076132800 is an abundant number, since it is smaller than the sum of its proper divisors (3409223109056).

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

1080076132800 is a wasteful number, since it uses less digits than its factorization.

1080076132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249265 (or 249247 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1080076132800 in words is "one trillion, eighty billion, seventy-six million, one hundred thirty-two thousand, eight hundred".