6877094400 has 840 divisors, whose sum is σ = 28284444144. Its totient is φ = 1642291200.

The previous prime is 6877094387. The next prime is 6877094417. The reversal of 6877094400 is 44907786.

It is a super-2 number, since 2×6877094400² = 94588854773022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 102643167 + ... + 102643233.

Almost surely, 2^6877094400 is an apocalyptic number.

6877094400 is a gapful number since it is divisible by the number (60) 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 6877094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142222072).

6877094400 is an abundant number, since it is smaller than the sum of its proper divisors (21407349744).

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

6877094400 is an equidigital number, since it uses as much as digits as its factorization.

6877094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6877094400 is about 82928.2485043547. The cubic root of 6877094400 is about 1901.6692993495.

The spelling of 6877094400 in words is "six billion, eight hundred seventy-seven million, ninety-four thousand, four hundred".