77825138688 has 448 divisors, whose sum is σ = 260450380800. Its totient is φ = 22749511680.

The previous prime is 77825138687. The next prime is 77825138707. The reversal of 77825138688 is 88683152877.

It is a super-2 number, since 2×77825138688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77825138681) 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, 70557145 + ... + 70558247.

Almost surely, 2^77825138688 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 77825138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130225190400).

77825138688 is an abundant number, since it is smaller than the sum of its proper divisors (182625242112).

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

77825138688 is a wasteful number, since it uses less digits than its factorization.

77825138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1148 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 77825138688 in words is "seventy-seven billion, eight hundred twenty-five million, one hundred thirty-eight thousand, six hundred eighty-eight".