8077320 has 112 divisors (see below), whose sum is σ = 27346860. Its totient is φ = 2146176.

The previous prime is 8077271. The next prime is 8077339. The reversal of 8077320 is 237708.

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 492804 = 2754^2 + 702^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29022 + ... + 29298.

Almost surely, 2^8077320 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 8077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673430).

8077320 is an abundant number, since it is smaller than the sum of its proper divisors (19269540).

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

8077320 is a wasteful number, since it uses less digits than its factorization.

8077320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 8077320 is about 2842.0626312592. The cubic root of 8077320 is about 200.6422685808.

The spelling of 8077320 in words is "eight million, seventy-seven thousand, three hundred twenty".