6764400 has 90 divisors (see below), whose sum is σ = 23486840. Its totient is φ = 1802880.

The previous prime is 6764393. The next prime is 6764411. The reversal of 6764400 is 44676.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2661 + ... + 4539.

Almost surely, 2^6764400 is an apocalyptic number.

6764400 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 6764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743420).

6764400 is an abundant number, since it is smaller than the sum of its proper divisors (16722440).

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

6764400 is a wasteful number, since it uses less digits than its factorization.

6764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6764400 is about 2600.8460162032. The cubic root of 6764400 is about 189.1224536086.

The spelling of 6764400 in words is "six million, seven hundred sixty-four thousand, four hundred".