7362880 has 112 divisors (see below), whose sum is σ = 21214080. Its totient is φ = 2377728.

The previous prime is 7362871. The next prime is 7362893. The reversal of 7362880 is 882637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 42474 + ... + 42646.

Almost surely, 2^7362880 is an apocalyptic number.

7362880 is a gapful number since it is divisible by the number (70) 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 7362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607040).

7362880 is an abundant number, since it is smaller than the sum of its proper divisors (13851200).

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

7362880 is a wasteful number, since it uses less digits than its factorization.

7362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 7362880 is about 2713.4627323772. The cubic root of 7362880 is about 194.5431338175.

The spelling of 7362880 in words is "seven million, three hundred sixty-two thousand, eight hundred eighty".