795007752 has 288 divisors, whose sum is σ = 2627271360. Its totient is φ = 199584000.

The previous prime is 795007751. The next prime is 795007757. The reversal of 795007752 is 257700597.

795007752 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 (42).

It is not an unprimeable number, because it can be changed into a prime (795007751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5264877 + ... + 5265027.

It is an arithmetic number, because the mean of its divisors is an integer number (9122470).

Almost surely, 2^795007752 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 795007752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313635680).

795007752 is an abundant number, since it is smaller than the sum of its proper divisors (1832263608).

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

795007752 is a wasteful number, since it uses less digits than its factorization.

795007752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 795007752 is about 28195.8818269619. The cubic root of 795007752 is about 926.3827391852.

The spelling of 795007752 in words is "seven hundred ninety-five million, seven thousand, seven hundred fifty-two".