795162240 has 192 divisors, whose sum is σ = 2769960960. Its totient is φ = 210180096.

The previous prime is 795162169. The next prime is 795162257. The reversal of 795162240 is 42261597.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 795162195 and 795162204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730977 + ... + 732063.

It is an arithmetic number, because the mean of its divisors is an integer number (14426880).

Almost surely, 2^795162240 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 795162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384980480).

795162240 is an abundant number, since it is smaller than the sum of its proper divisors (1974798720).

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

795162240 is a wasteful number, since it uses less digits than its factorization.

795162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 795162240 is about 28198.6212428906. The cubic root of 795162240 is about 926.4427410100.

The spelling of 795162240 in words is "seven hundred ninety-five million, one hundred sixty-two thousand, two hundred forty".