80704512000 has 1120 divisors, whose sum is σ = 346354968960. Its totient is φ = 18314035200.

The previous prime is 80704511969. The next prime is 80704512013. The reversal of 80704512000 is 21540708.

80704512000 is a `hidden beast` number, since 8 + 0 + 7 + 0 + 451 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580607931 + ... + 580608069.

It is an arithmetic number, because the mean of its divisors is an integer number (309245508).

Almost surely, 2^80704512000 is an apocalyptic number.

80704512000 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 80704512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173177484480).

80704512000 is an abundant number, since it is smaller than the sum of its proper divisors (265650456960).

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

80704512000 is an equidigital number, since it uses as much as digits as its factorization.

80704512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

It can be divided in two parts, 80704 and 512000, that added together give a cube (592704 = 84³).

The spelling of 80704512000 in words is "eighty billion, seven hundred four million, five hundred twelve thousand".