8277920 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2681856.

The previous prime is 8277889. The next prime is 8277923. The reversal of 8277920 is 297728.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (8277923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21086 + ... + 21474.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^8277920 is an apocalyptic number.

8277920 is a gapful number since it is divisible by the number (80) 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 8277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8277920 is an abundant number, since it is smaller than the sum of its proper divisors (15309280).

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

8277920 is a wasteful number, since it uses less digits than its factorization.

8277920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 8277920 is about 2877.1374663022. The cubic root of 8277920 is about 202.2896866416.

The spelling of 8277920 in words is "eight million, two hundred seventy-seven thousand, nine hundred twenty".