76340873157120 has 5760 divisors, whose sum is σ = 357814578401280. Its totient is φ = 15328847462400.

The previous prime is 76340873157097. The next prime is 76340873157161. The reversal of 76340873157120 is 2175137804367.

76340873157120 is a `hidden beast` number, since 7 + 6 + 3 + 40 + 8 + 7 + 3 + 1 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1624273896937 + ... + 1624273896983.

It is an arithmetic number, because the mean of its divisors is an integer number (62120586528).

Almost surely, 2^{76340873157120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76340873157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178907289200640).

76340873157120 is an abundant number, since it is smaller than the sum of its proper divisors (281473705244160).

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

76340873157120 is a wasteful number, since it uses less digits than its factorization.

76340873157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 76340873157120 in words is "seventy-six trillion, three hundred forty billion, eight hundred seventy-three million, one hundred fifty-seven thousand, one hundred twenty".