7905330 has 128 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 1881792.

The previous prime is 7905277. The next prime is 7905343. The reversal of 7905330 is 335097.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7905294 and 7905303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117957 + ... + 118023.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^7905330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7905330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

7905330 is an abundant number, since it is smaller than the sum of its proper divisors (15595470).

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

7905330 is a wasteful number, since it uses less digits than its factorization.

7905330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 7905330 is about 2811.6418690865. The cubic root of 7905330 is about 199.2079507641.

The spelling of 7905330 in words is "seven million, nine hundred five thousand, three hundred thirty".