6770400 has 288 divisors, whose sum is σ = 27998208. Its totient is φ = 1382400.

The previous prime is 6770389. The next prime is 6770419. The reversal of 6770400 is 40776.

6770400 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218385 + ... + 218415.

It is an arithmetic number, because the mean of its divisors is an integer number (97216).

Almost surely, 2^6770400 is an apocalyptic number.

6770400 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 6770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

6770400 is an abundant number, since it is smaller than the sum of its proper divisors (21227808).

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

6770400 is a wasteful number, since it uses less digits than its factorization.

6770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 6770400 is about 2601.9992313604. Note that the first 3 decimals coincide. The cubic root of 6770400 is about 189.1783540770.

The spelling of 6770400 in words is "six million, seven hundred seventy thousand, four hundred".