8178920 has 32 divisors (see below), whose sum is σ = 18661320. Its totient is φ = 3225600.

The previous prime is 8178913. The next prime is 8178959. The reversal of 8178920 is 298718.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6791236 + 1387684 = 2606^2 + 1178^2 .

It is a super-3 number, since 3×8178920³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1520 + ... + 4320.

Almost surely, 2^8178920 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 8178920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330660).

8178920 is an abundant number, since it is smaller than the sum of its proper divisors (10482400).

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

8178920 is a wasteful number, since it uses less digits than its factorization.

8178920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 8178920 is about 2859.8811164103. The cubic root of 8178920 is about 201.4800206779.

The spelling of 8178920 in words is "eight million, one hundred seventy-eight thousand, nine hundred twenty".