795949465600 has 459 divisors, whose sum is σ = 2149274864161. Its totient is φ = 292342988800.

The previous prime is 795949465547. The next prime is 795949465607. The reversal of 795949465600 is 6564949597.

It is a happy number.

The square root of 795949465600 is 892160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 689245323264 + 106704142336 = 830208^2 + 326656^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (795949465607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19413401580 + ... + 19413401620.

Almost surely, 2^795949465600 is an apocalyptic number.

795949465600 is the 892160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795949465600

795949465600 is an abundant number, since it is smaller than the sum of its proper divisors (1353325398561).

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

795949465600 is an frugal number, since it uses more digits than its factorization.

795949465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 64.

Multiplying 795949465600 by its sum of digits (64), we get a square (50940765798400 = 7137280²).

795949465600 divided by its sum of digits (64) gives a square (12436710400 = 111520²).

The spelling of 795949465600 in words is "seven hundred ninety-five billion, nine hundred forty-nine million, four hundred sixty-five thousand, six hundred".