76401427625 has 32 divisors (see below), whose sum is σ = 101016193824. Its totient is φ = 57492480000.

The previous prime is 76401427621. The next prime is 76401427631. The reversal of 76401427625 is 52672410467.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 38659817641 + 37741609984 = 196621^2 + 194272^2 .

It is not a de Polignac number, because 76401427625 - 2² = 76401427621 is a prime.

It is a super-2 number, since 2×76401427625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76401427621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4030169 + ... + 4049081.

It is an arithmetic number, because the mean of its divisors is an integer number (3156756057).

Almost surely, 2^76401427625 is an apocalyptic number.

It is an amenable number.

76401427625 is a deficient number, since it is larger than the sum of its proper divisors (24614766199).

76401427625 is a wasteful number, since it uses less digits than its factorization.

76401427625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20846 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 76401427625 in words is "seventy-six billion, four hundred one million, four hundred twenty-seven thousand, six hundred twenty-five".