5578070400 has 768 divisors, whose sum is σ = 24405580800. Its totient is φ = 1216512000.

The previous prime is 5578070389. The next prime is 5578070411. The reversal of 5578070400 is 40708755.

It is an interprime number because it is at equal distance from previous prime (5578070389) and next prime (5578070411).

It is a super-2 number, since 2×5578070400² = 62229738774712320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13910200 + ... + 13910600.

It is an arithmetic number, because the mean of its divisors is an integer number (31778100).

Almost surely, 2^5578070400 is an apocalyptic number.

5578070400 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 5578070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202790400).

5578070400 is an abundant number, since it is smaller than the sum of its proper divisors (18827510400).

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

5578070400 is a wasteful number, since it uses less digits than its factorization.

5578070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5578070400 is about 74686.4807043417. The cubic root of 5578070400 is about 1773.4869497141.

The spelling of 5578070400 in words is "five billion, five hundred seventy-eight million, seventy thousand, four hundred".