7812720 has 80 divisors (see below), whose sum is σ = 26917920. Its totient is φ = 2082816.

The previous prime is 7812719. The next prime is 7812731. The reversal of 7812720 is 272187.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7812720² = 122077187596800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 352 + ... + 3968.

It is an arithmetic number, because the mean of its divisors is an integer number (336474).

Almost surely, 2^7812720 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 7812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458960).

7812720 is an abundant number, since it is smaller than the sum of its proper divisors (19105200).

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

7812720 is a wasteful number, since it uses less digits than its factorization.

7812720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7812720 is about 2795.1243263941. The cubic root of 7812720 is about 198.4269940291.

The spelling of 7812720 in words is "seven million, eight hundred twelve thousand, seven hundred twenty".