7306880 has 96 divisors (see below), whose sum is σ = 20407140. Its totient is φ = 2494464.

The previous prime is 7306877. The next prime is 7306883. The reversal of 7306880 is 886037.

It is an interprime number because it is at equal distance from previous prime (7306877) and next prime (7306883).

It can be written as a sum of positive squares in 2 ways, for example, as 6927424 + 379456 = 2632^2 + 616^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (7306883) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31244 + ... + 31476.

Almost surely, 2^7306880 is an apocalyptic number.

7306880 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 7306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203570).

7306880 is an abundant number, since it is smaller than the sum of its proper divisors (13100260).

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

7306880 is a wasteful number, since it uses less digits than its factorization.

7306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7306880 is about 2703.1241184970. The cubic root of 7306880 is about 194.0486645904.

The spelling of 7306880 in words is "seven million, three hundred six thousand, eight hundred eighty".