5777557400 has 192 divisors, whose sum is σ = 14380270080. Its totient is φ = 2155507200.

The previous prime is 5777557309. The next prime is 5777557417. The reversal of 5777557400 is 47557775.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21319265 + ... + 21319535.

It is an arithmetic number, because the mean of its divisors is an integer number (74897240).

Almost surely, 2^5777557400 is an apocalyptic number.

5777557400 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 5777557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190135040).

5777557400 is an abundant number, since it is smaller than the sum of its proper divisors (8602712680).

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

5777557400 is a wasteful number, since it uses less digits than its factorization.

5777557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1200500, while the sum is 47.

The square root of 5777557400 is about 76010.2453620563. The cubic root of 5777557400 is about 1794.3813894999.

The spelling of 5777557400 in words is "five billion, seven hundred seventy-seven million, five hundred fifty-seven thousand, four hundred".