795362040 has 432 divisors, whose sum is σ = 3090414600. Its totient is φ = 176774400.

The previous prime is 795362003. The next prime is 795362047. The reversal of 795362040 is 40263597.

795362040 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 795361986 and 795362004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795362047) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25656825 + ... + 25656855.

Almost surely, 2^795362040 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 795362040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545207300).

795362040 is an abundant number, since it is smaller than the sum of its proper divisors (2295052560).

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

795362040 is a wasteful number, since it uses less digits than its factorization.

795362040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 795362040 is about 28202.1637467766. The cubic root of 795362040 is about 926.5203301060.

The spelling of 795362040 in words is "seven hundred ninety-five million, three hundred sixty-two thousand, forty".