795537600 has 672 divisors, whose sum is σ = 3280623360. Its totient is φ = 165888000.

The previous prime is 795537583. The next prime is 795537601. The reversal of 795537600 is 6735597.

795537600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795537601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13041570 + ... + 13041630.

It is an arithmetic number, because the mean of its divisors is an integer number (4881880).

Almost surely, 2^795537600 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 795537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640311680).

795537600 is an abundant number, since it is smaller than the sum of its proper divisors (2485085760).

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

795537600 is a wasteful number, since it uses less digits than its factorization.

795537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 795537600 is about 28205.2761021763. The cubic root of 795537600 is about 926.5884952662.

It can be divided in two parts, 79553 and 7600, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 795537600 in words is "seven hundred ninety-five million, five hundred thirty-seven thousand, six hundred".