7965720 has 192 divisors, whose sum is σ = 30888000. Its totient is φ = 1741824.

The previous prime is 7965719. The next prime is 7965721. The reversal of 7965720 is 275697.

It is an interprime number because it is at equal distance from previous prime (7965719) and next prime (7965721).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7965721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73026 + ... + 73134.

It is an arithmetic number, because the mean of its divisors is an integer number (160875).

Almost surely, 2^7965720 is an apocalyptic number.

7965720 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 7965720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444000).

7965720 is an abundant number, since it is smaller than the sum of its proper divisors (22922280).

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

7965720 is a wasteful number, since it uses less digits than its factorization.

7965720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7965720 is about 2822.3607140123. The cubic root of 7965720 is about 199.7139243320.

The spelling of 7965720 in words is "seven million, nine hundred sixty-five thousand, seven hundred twenty".