795886560 has 480 divisors, whose sum is σ = 3325335552. Its totient is φ = 175426560.

The previous prime is 795886543. The next prime is 795886561. The reversal of 795886560 is 65688597.

795886560 is a `hidden beast` number, since 7 + 9 + 588 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 795886497 and 795886506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795886561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812179 + ... + 2812461.

Almost surely, 2^795886560 is an apocalyptic number.

795886560 is a gapful number since it is divisible by the number (70) 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 795886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662667776).

795886560 is an abundant number, since it is smaller than the sum of its proper divisors (2529448992).

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

795886560 is a wasteful number, since it uses less digits than its factorization.

795886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 795886560 is about 28211.4615006029. The cubic root of 795886560 is about 926.7239571456.

The spelling of 795886560 in words is "seven hundred ninety-five million, eight hundred eighty-six thousand, five hundred sixty".