6377400 has 96 divisors (see below), whose sum is σ = 21985200. Its totient is φ = 1699200.

The previous prime is 6377389. The next prime is 6377401. The reversal of 6377400 is 47736.

6377400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4810 + ... + 5990.

Almost surely, 2^6377400 is an apocalyptic number.

6377400 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 6377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992600).

6377400 is an abundant number, since it is smaller than the sum of its proper divisors (15607800).

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

6377400 is a wasteful number, since it uses less digits than its factorization.

6377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 6377400 is about 2525.3514606882. The cubic root of 6377400 is about 185.4447541229. Note that the first 3 decimals are identical.

The spelling of 6377400 in words is "six million, three hundred seventy-seven thousand, four hundred".