7812420 has 192 divisors, whose sum is σ = 29030400. Its totient is φ = 1520640.

The previous prime is 7812407. The next prime is 7812421. The reversal of 7812420 is 242187.

It is a super-2 number, since 2×7812420² = 122067812512800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7812421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87736 + ... + 87824.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^7812420 is an apocalyptic number.

7812420 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 7812420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

7812420 is an abundant number, since it is smaller than the sum of its proper divisors (21217980).

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

7812420 is a wasteful number, since it uses less digits than its factorization.

7812420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7812420 is about 2795.0706610030. The cubic root of 7812420 is about 198.4244542026.

The spelling of 7812420 in words is "seven million, eight hundred twelve thousand, four hundred twenty".