6877823400 has 672 divisors, whose sum is σ = 28689413760. Its totient is φ = 1498590720.

The previous prime is 6877823371. The next prime is 6877823411. The reversal of 6877823400 is 43287786.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 23473654 + ... + 23473946.

It is an arithmetic number, because the mean of its divisors is an integer number (42692580).

Almost surely, 2^6877823400 is an apocalyptic number.

6877823400 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 6877823400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344706880).

6877823400 is an abundant number, since it is smaller than the sum of its proper divisors (21811590360).

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

6877823400 is a wasteful number, since it uses less digits than its factorization.

6877823400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6877823400 is about 82932.6437538319. The cubic root of 6877823400 is about 1901.7364918708.

The spelling of 6877823400 in words is "six billion, eight hundred seventy-seven million, eight hundred twenty-three thousand, four hundred".