795188940 has 288 divisors, whose sum is σ = 2921909760. Its totient is φ = 157667328.

The previous prime is 795188921. The next prime is 795188951. The reversal of 795188940 is 49881597.

795188940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1206331 + ... + 1206989.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2^795188940 is an apocalyptic number.

795188940 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 795188940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460954880).

795188940 is an abundant number, since it is smaller than the sum of its proper divisors (2126720820).

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

795188940 is a wasteful number, since it uses less digits than its factorization.

795188940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 795188940 is about 28199.0946663186. The cubic root of 795188940 is about 926.4531102751.

The spelling of 795188940 in words is "seven hundred ninety-five million, one hundred eighty-eight thousand, nine hundred forty".