6772880 has 40 divisors (see below), whose sum is σ = 16260864. Its totient is φ = 2620800.

The previous prime is 6772859. The next prime is 6772897. The reversal of 6772880 is 882776.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115 + ... + 3845.

Almost surely, 2^6772880 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 6772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130432).

6772880 is an abundant number, since it is smaller than the sum of its proper divisors (9487984).

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

6772880 is a wasteful number, since it uses less digits than its factorization.

6772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 6772880 is about 2602.4757443634. The cubic root of 6772880 is about 189.2014499574.

The spelling of 6772880 in words is "six million, seven hundred seventy-two thousand, eight hundred eighty".