756080860801 has 24 divisors (see below), whose sum is σ = 931367624616. Its totient is φ = 609876610560.

The previous prime is 756080860793. The next prime is 756080860877. The reversal of 756080860801 is 108068080657.

It can be written as a sum of positive squares in 4 ways, for example, as 492521836401 + 263559024400 = 701799^2 + 513380^2 .

It is not a de Polignac number, because 756080860801 - 2³ = 756080860793 is a prime.

It is a super-2 number, since 2×756080860801² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (756080860201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7812931 + ... + 7909111.

It is an arithmetic number, because the mean of its divisors is an integer number (38806984359).

Almost surely, 2^756080860801 is an apocalyptic number.

It is an amenable number.

756080860801 is a deficient number, since it is larger than the sum of its proper divisors (175286763815).

756080860801 is a wasteful number, since it uses less digits than its factorization.

756080860801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105649 (or 105642 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 756080860801 in words is "seven hundred fifty-six billion, eighty million, eight hundred sixty thousand, eight hundred one".