7864320 has 80 divisors (see below), whose sum is σ = 25165800. Its totient is φ = 2097152.

The previous prime is 7864301. The next prime is 7864331. The reversal of 7864320 is 234687.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)¹⁶.

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 a d-powerful number, because it can be written as 7⁸ + 8⁷ + 6² + 4² + 3⁷ + 2⁷ + 0 .

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 7864320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1572862 + ... + 1572866.

Almost surely, 2^7864320 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 7864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582900).

7864320 is an abundant number, since it is smaller than the sum of its proper divisors (17301480).

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

7864320 is an frugal number, since it uses more digits than its factorization.

7864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7864320 is about 2804.3394944265. The cubic root of 7864320 is about 198.8628803810.

Multiplying 7864320 by its sum of digits (30), we get a square (235929600 = 15360²).

7864320 divided by its sum of digits (30) gives a 18-th power (262144 = 2¹⁸).

The spelling of 7864320 in words is "seven million, eight hundred sixty-four thousand, three hundred twenty".