795763440 has 200 divisors, whose sum is σ = 2839356960. Its totient is φ = 206406144.

The previous prime is 795763433. The next prime is 795763457. The reversal of 795763440 is 44367597.

795763440 is a `hidden beast` number, since 7 + 9 + 5 + 7 + 634 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 238101 + ... + 241419.

Almost surely, 2^795763440 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 795763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419678480).

795763440 is an abundant number, since it is smaller than the sum of its proper divisors (2043593520).

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

795763440 is a wasteful number, since it uses less digits than its factorization.

795763440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 795763440 is about 28209.2793243642. The cubic root of 795763440 is about 926.6761680328.

The spelling of 795763440 in words is "seven hundred ninety-five million, seven hundred sixty-three thousand, four hundred forty".