7292880 has 120 divisors (see below), whose sum is σ = 28010112. Its totient is φ = 1665792.

The previous prime is 7292869. The next prime is 7292917. The reversal of 7292880 is 882927.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4317 + ... + 5763.

Almost surely, 2^7292880 is an apocalyptic number.

7292880 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 7292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005056).

7292880 is an abundant number, since it is smaller than the sum of its proper divisors (20717232).

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

7292880 is a wasteful number, since it uses less digits than its factorization.

7292880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7292880 is about 2700.5332806688. The cubic root of 7292880 is about 193.9246527819.

The spelling of 7292880 in words is "seven million, two hundred ninety-two thousand, eight hundred eighty".