5876755600 has 45 divisors (see below), whose sum is σ = 14122589803. Its totient is φ = 2350088960.

The previous prime is 5876755589. The next prime is 5876755607. The reversal of 5876755600 is 65576785.

The square root of 5876755600 is 76660.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1079253904 + 4797501696 = 32852^2 + 69264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5876755607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1531284 + ... + 1535116.

Almost surely, 2^5876755600 is an apocalyptic number.

5876755600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5876755600 is the 76660-th square number.

It is an amenable number.

5876755600 is an abundant number, since it is smaller than the sum of its proper divisors (8245834203).

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

5876755600 is an frugal number, since it uses more digits than its factorization.

5876755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 49.

The cubic root of 5876755600 is about 1804.5927570647.

Multiplying 5876755600 by its sum of digits (49), we get a square (287961024400 = 536620²).

The spelling of 5876755600 in words is "five billion, eight hundred seventy-six million, seven hundred fifty-five thousand, six hundred".