6792000 has 112 divisors (see below), whose sum is σ = 22506432. Its totient is φ = 1804800.

The previous prime is 6791999. The next prime is 6792001. The reversal of 6792000 is 2976.

It is an interprime number because it is at equal distance from previous prime (6791999) and next prime (6792001).

It is a super-2 number, since 2×6792000² = 92262528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6792001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23859 + ... + 24141.

Almost surely, 2^6792000 is an apocalyptic number.

6792000 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 6792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253216).

6792000 is an abundant number, since it is smaller than the sum of its proper divisors (15714432).

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

6792000 is a wasteful number, since it uses less digits than its factorization.

6792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 6792000 is about 2606.1465806819. The cubic root of 6792000 is about 189.3793227346.

Subtracting from 6792000 its sum of digits (24), we obtain a palindrome (6791976).

Adding to 6792000 its reverse (2976), we get a palindrome (6794976).

The spelling of 6792000 in words is "six million, seven hundred ninety-two thousand".