813125575680 has 704 divisors, whose sum is σ = 2955188330496. Its totient is φ = 190613913600.

The previous prime is 813125575673. The next prime is 813125575699. The reversal of 813125575680 is 86575521318.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×813125575680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633768319 + ... + 633769601.

Almost surely, 2^813125575680 is an apocalyptic number.

813125575680 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 813125575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477594165248).

813125575680 is an abundant number, since it is smaller than the sum of its proper divisors (2142062754816).

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

813125575680 is a wasteful number, since it uses less digits than its factorization.

813125575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 813125575680 in words is "eight hundred thirteen billion, one hundred twenty-five million, five hundred seventy-five thousand, six hundred eighty".