7838020 has 24 divisors (see below), whose sum is σ = 17428824. Its totient is φ = 2950656.

The previous prime is 7837993. The next prime is 7838021. The reversal of 7838020 is 208387.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 5271616 = 1602^2 + 2296^2 .

It is a super-2 number, since 2×7838020² = 122869115040800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 7838020.

It is not an unprimeable number, because it can be changed into a prime (7838021) 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, 11187 + ... + 11866.

It is an arithmetic number, because the mean of its divisors is an integer number (726201).

Almost surely, 2^7838020 is an apocalyptic number.

It is an amenable number.

7838020 is an abundant number, since it is smaller than the sum of its proper divisors (9590804).

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

7838020 is a wasteful number, since it uses less digits than its factorization.

7838020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23079 (or 23077 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7838020 is about 2799.6464062449. The cubic root of 7838020 is about 198.6409525347.

It can be divided in two parts, 78380 and 20, that added together give a square (78400 = 280²).

The spelling of 7838020 in words is "seven million, eight hundred thirty-eight thousand, twenty".