6920800 has 72 divisors (see below), whose sum is σ = 17389512. Its totient is φ = 2688000.

The previous prime is 6920791. The next prime is 6920801. The reversal of 6920800 is 80296.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6920801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32695 + ... + 32905.

It is an arithmetic number, because the mean of its divisors is an integer number (241521).

Almost surely, 2^6920800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694756).

6920800 is an abundant number, since it is smaller than the sum of its proper divisors (10468712).

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

6920800 is a wasteful number, since it uses less digits than its factorization.

6920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 6920800 is about 2630.7413403830. The cubic root of 6920800 is about 190.5689318218.

The spelling of 6920800 in words is "six million, nine hundred twenty thousand, eight hundred".