8407920 has 80 divisors (see below), whose sum is σ = 26596512. Its totient is φ = 2196480.

The previous prime is 8407909. The next prime is 8407943. The reversal of 8407920 is 297048.

8407920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12390 + ... + 13050.

Almost surely, 2^8407920 is an apocalyptic number.

8407920 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 8407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298256).

8407920 is an abundant number, since it is smaller than the sum of its proper divisors (18188592).

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

8407920 is a wasteful number, since it uses less digits than its factorization.

8407920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8407920 is about 2899.6413571337. The cubic root of 8407920 is about 203.3431390655.

The spelling of 8407920 in words is "eight million, four hundred seven thousand, nine hundred twenty".