5770879200 has 216 divisors, whose sum is σ = 20561840208. Its totient is φ = 1522851840.

The previous prime is 5770879129. The next prime is 5770879201. The reversal of 5770879200 is 29780775.

5770879200 is a `hidden beast` number, since 577 + 0 + 8 + 79 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770879201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694269 + ... + 702531.

Almost surely, 2^5770879200 is an apocalyptic number.

5770879200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5770879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280920104).

5770879200 is an abundant number, since it is smaller than the sum of its proper divisors (14790961008).

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

5770879200 is a wasteful number, since it uses less digits than its factorization.

5770879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 5770879200 is about 75966.3030560261. The cubic root of 5770879200 is about 1793.6897559358.

The spelling of 5770879200 in words is "five billion, seven hundred seventy million, eight hundred seventy-nine thousand, two hundred".