5764077000 has 576 divisors, whose sum is σ = 22009478400. Its totient is φ = 1359072000.

The previous prime is 5764076999. The next prime is 5764077019. The reversal of 5764077000 is 7704675.

5764077000 is a `hidden beast` number, since 5 + 7 + 640 + 7 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72962961 + ... + 72963039.

It is an arithmetic number, because the mean of its divisors is an integer number (38210900).

Almost surely, 2^5764077000 is an apocalyptic number.

5764077000 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 5764077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004739200).

5764077000 is an abundant number, since it is smaller than the sum of its proper divisors (16245401400).

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

5764077000 is a wasteful number, since it uses less digits than its factorization.

5764077000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5764077000 is about 75921.5186887091. The cubic root of 5764077000 is about 1792.9847314494.

The spelling of 5764077000 in words is "five billion, seven hundred sixty-four million, seventy-seven thousand".