5827795600 has 135 divisors (see below), whose sum is σ = 15434314441. Its totient is φ = 2113091200.

The previous prime is 5827795583. The next prime is 5827795607. The reversal of 5827795600 is 65977285.

The square root of 5827795600 is 76340.

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

It can be written as a sum of positive squares in only one way, i.e., 2098006416 + 3729789184 = 45804^2 + 61072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5827795607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16794627 + ... + 16794973.

Almost surely, 2^5827795600 is an apocalyptic number.

5827795600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5827795600 is the 76340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5827795600

5827795600 is an abundant number, since it is smaller than the sum of its proper divisors (9606518841).

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

5827795600 is a wasteful number, since it uses less digits than its factorization.

5827795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The cubic root of 5827795600 is about 1799.5673445732.

Multiplying 5827795600 by its sum of digits (49), we get a square (285561984400 = 534380²).

The spelling of 5827795600 in words is "five billion, eight hundred twenty-seven million, seven hundred ninety-five thousand, six hundred".