5787278400 has 672 divisors, whose sum is σ = 21770035200. Its totient is φ = 1338163200.

The previous prime is 5787278347. The next prime is 5787278429. The reversal of 5787278400 is 48727875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5787278400.

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, 65025556 + ... + 65025644.

Almost surely, 2^5787278400 is an apocalyptic number.

5787278400 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 5787278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885017600).

5787278400 is an abundant number, since it is smaller than the sum of its proper divisors (15982756800).

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

5787278400 is a wasteful number, since it uses less digits than its factorization.

5787278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 5787278400 is about 76074.1638140046. The cubic root of 5787278400 is about 1795.3872013818.

The spelling of 5787278400 in words is "five billion, seven hundred eighty-seven million, two hundred seventy-eight thousand, four hundred".