7356880 has 20 divisors (see below), whose sum is σ = 17104932. Its totient is φ = 2942720.

The previous prime is 7356859. The next prime is 7356883. The reversal of 7356880 is 886537.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 4822416 = 1592^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7356883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45901 + ... + 46060.

Almost surely, 2^7356880 is an apocalyptic number.

It is an amenable number.

7356880 is an abundant number, since it is smaller than the sum of its proper divisors (9748052).

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

7356880 is a wasteful number, since it uses less digits than its factorization.

7356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91974 (or 91968 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7356880 is about 2712.3569086682. The cubic root of 7356880 is about 194.4902751530.

It can be divided in two parts, 73 and 56880, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 7356880 in words is "seven million, three hundred fifty-six thousand, eight hundred eighty".