7665821120 has 56 divisors (see below), whose sum is σ = 18327154608. Its totient is φ = 3054080000.

The previous prime is 7665821063. The next prime is 7665821129. The reversal of 7665821120 is 211285667.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7665821129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32600 + ... + 128040.

It is an arithmetic number, because the mean of its divisors is an integer number (327270618).

Almost surely, 2^7665821120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7665821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163577304).

7665821120 is an abundant number, since it is smaller than the sum of its proper divisors (10661333488).

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

7665821120 is a wasteful number, since it uses less digits than its factorization.

7665821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95709 (or 95699 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 7665821120 is about 87554.6750322334. The cubic root of 7665821120 is about 1971.7547404839.

The spelling of 7665821120 in words is "seven billion, six hundred sixty-five million, eight hundred twenty-one thousand, one hundred twenty".