70780097808000 has 960 divisors, whose sum is σ = 305798584857480. Its totient is φ = 16178293555200.

The previous prime is 70780097807983. The next prime is 70780097808031. The reversal of 70780097808000 is 80879008707.

It can be written as a sum of positive squares in 4 ways, for example, as 23444266757184 + 47335831050816 = 4841928^2 + 6880104^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62946712 + ... + 64061288.

Almost surely, 2^{70780097808000} is an apocalyptic number.

70780097808000 is a gapful number since it is divisible by the number (70) 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 70780097808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152899292428740).

70780097808000 is an abundant number, since it is smaller than the sum of its proper divisors (235018487049480).

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

70780097808000 is a wasteful number, since it uses less digits than its factorization.

70780097808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114632 (or 1114594 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 70780097808000 in words is "seventy trillion, seven hundred eighty billion, ninety-seven million, eight hundred eight thousand".