7936320 has 112 divisors (see below), whose sum is σ = 28821888. Its totient is φ = 1812480.

The previous prime is 7936303. The next prime is 7936333. The reversal of 7936320 is 236397.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6130 + ... + 7310.

Almost surely, 2^7936320 is an apocalyptic number.

7936320 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 7936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410944).

7936320 is an abundant number, since it is smaller than the sum of its proper divisors (20885568).

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

7936320 is a wasteful number, since it uses less digits than its factorization.

7936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 7936320 is about 2817.1474934763. The cubic root of 7936320 is about 199.4679190379.

It can be divided in two parts, 7936 and 320, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 7936320 in words is "seven million, nine hundred thirty-six thousand, three hundred twenty".