5877414400 has 480 divisors, whose sum is σ = 18114465600. Its totient is φ = 1869004800.

The previous prime is 5877414379. The next prime is 5877414461. The reversal of 5877414400 is 44147785.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 309337591 + ... + 309337609.

It is an arithmetic number, because the mean of its divisors is an integer number (37738470).

Almost surely, 2^5877414400 is an apocalyptic number.

5877414400 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 5877414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057232800).

5877414400 is an abundant number, since it is smaller than the sum of its proper divisors (12237051200).

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

5877414400 is a wasteful number, since it uses less digits than its factorization.

5877414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The square root of 5877414400 is about 76664.2967749656. The cubic root of 5877414400 is about 1804.6601877678.

The spelling of 5877414400 in words is "five billion, eight hundred seventy-seven million, four hundred fourteen thousand, four hundred".