7677090 has 48 divisors (see below), whose sum is σ = 20108088. Its totient is φ = 2032128.

The previous prime is 7677079. The next prime is 7677097. The reversal of 7677090 is 907767.

It can be written as a sum of positive squares in 4 ways, for example, as 6702921 + 974169 = 2589^2 + 987^2 .

It is not an unprimeable number, because it can be changed into a prime (7677097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17514 + ... + 17946.

Almost surely, 2^7677090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7677090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044).

7677090 is an abundant number, since it is smaller than the sum of its proper divisors (12430998).

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

7677090 is a wasteful number, since it uses less digits than its factorization.

7677090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 7677090 is about 2770.7562144656. The cubic root of 7677090 is about 197.2720437806.

The spelling of 7677090 in words is "seven million, six hundred seventy-seven thousand, ninety".