7363920 has 80 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 1927680.

The previous prime is 7363919. The next prime is 7363921. The reversal of 7363920 is 293637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7363919) and next prime (7363921).

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 not an unprimeable number, because it can be changed into a prime (7363921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14389 + ... + 14891.

Almost surely, 2^7363920 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 7363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

7363920 is an abundant number, since it is smaller than the sum of its proper divisors (15884592).

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

7363920 is a wasteful number, since it uses less digits than its factorization.

7363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 7363920 is about 2713.6543626630. The cubic root of 7363920 is about 194.5522930656.

It can be divided in two parts, 736 and 3920, that added together give a triangular number (4656 = T₉₆).

The spelling of 7363920 in words is "seven million, three hundred sixty-three thousand, nine hundred twenty".