7795828656 has 540 divisors, whose sum is σ = 29182725936. Its totient is φ = 1931973120.

The previous prime is 7795828639. The next prime is 7795828657. The reversal of 7795828656 is 6568285977.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7795828593 and 7795828602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7795828657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19636650 + ... + 19637046.

Almost surely, 2^7795828656 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 7795828656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591362968).

7795828656 is an abundant number, since it is smaller than the sum of its proper divisors (21386897280).

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

7795828656 is a wasteful number, since it uses less digits than its factorization.

7795828656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The square root of 7795828656 is about 88293.9899200393. The cubic root of 7795828656 is about 1982.8388906640.

The spelling of 7795828656 in words is "seven billion, seven hundred ninety-five million, eight hundred twenty-eight thousand, six hundred fifty-six".