6772080 has 160 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1483776.

The previous prime is 6772067. The next prime is 6772081. The reversal of 6772080 is 802776.

It is a super-2 number, since 2×6772080² = 91722135052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48651 + ... + 48789.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^6772080 is an apocalyptic number.

6772080 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 6772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

6772080 is an abundant number, since it is smaller than the sum of its proper divisors (18226320).

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

6772080 is a wasteful number, since it uses less digits than its factorization.

6772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 6772080 is about 2602.3220400250. The cubic root of 6772080 is about 189.1940002895.

The spelling of 6772080 in words is "six million, seven hundred seventy-two thousand, eighty".