795432960 has 480 divisors, whose sum is σ = 3282158880. Its totient is φ = 180486144.

The previous prime is 795432947. The next prime is 795432977. The reversal of 795432960 is 69234597.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5806012 + ... + 5806148.

It is an arithmetic number, because the mean of its divisors is an integer number (6837831).

Almost surely, 2^795432960 is an apocalyptic number.

795432960 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 795432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641079440).

795432960 is an abundant number, since it is smaller than the sum of its proper divisors (2486725920).

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

795432960 is a wasteful number, since it uses less digits than its factorization.

795432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 795432960 is about 28203.4210690831. The cubic root of 795432960 is about 926.5478676154.

The spelling of 795432960 in words is "seven hundred ninety-five million, four hundred thirty-two thousand, nine hundred sixty".