5076302400 has 840 divisors, whose sum is σ = 21128272704. Its totient is φ = 1186099200.

The previous prime is 5076302393. The next prime is 5076302411. The reversal of 5076302400 is 42036705.

It is a happy number.

5076302400 is a `hidden beast` number, since 5 + 0 + 7 + 630 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 38750335 + ... + 38750465.

Almost surely, 2^5076302400 is an apocalyptic number.

5076302400 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 5076302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564136352).

5076302400 is an abundant number, since it is smaller than the sum of its proper divisors (16051970304).

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

5076302400 is a wasteful number, since it uses less digits than its factorization.

5076302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5076302400 is about 71248.1747134620. The cubic root of 5076302400 is about 1718.6304222704.

The spelling of 5076302400 in words is "five billion, seventy-six million, three hundred two thousand, four hundred".