6772920 has 128 divisors (see below), whose sum is σ = 25367040. Its totient is φ = 1405440.

The previous prime is 6772897. The next prime is 6772937. The reversal of 6772920 is 292776.

6772920 is digitally balanced in base 8, 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 (33).

6772920 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8874 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (198180).

Almost surely, 2^6772920 is an apocalyptic number.

6772920 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 6772920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683520).

6772920 is an abundant number, since it is smaller than the sum of its proper divisors (18594120).

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

6772920 is a wasteful number, since it uses less digits than its factorization.

6772920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 6772920 is about 2602.4834293421. The cubic root of 6772920 is about 189.2018224254.

The spelling of 6772920 in words is "six million, seven hundred seventy-two thousand, nine hundred twenty".