7370880 has 128 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 1781760.

The previous prime is 7370873. The next prime is 7370887. The reversal of 7370880 is 880737.

7370880 is a nontrivial binomial coefficient, being equal to C(3840, 2).

It is an interprime number because it is at equal distance from previous prime (7370873) and next prime (7370887).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7370887) 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, 20946 + ... + 21294.

Almost surely, 2^7370880 is an apocalyptic number.

7370880 is the 3839-th triangular number and also the 1920-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

7370880 is an abundant number, since it is smaller than the sum of its proper divisors (18333120).

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

7370880 is a wasteful number, since it uses less digits than its factorization.

7370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 7370880 is about 2714.9364633450. The cubic root of 7370880 is about 194.6135673860.

The spelling of 7370880 in words is "seven million, three hundred seventy thousand, eight hundred eighty".