7820890 has 48 divisors (see below), whose sum is σ = 17877024. Its totient is φ = 2436000.

The previous prime is 7820887. The next prime is 7820927. The reversal of 7820890 is 980287.

It is a happy number.

It is a super-2 number, since 2×7820890² = 122332640784200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4665 + ... + 6115.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 2^7820890 is an apocalyptic number.

7820890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7820890 is an abundant number, since it is smaller than the sum of its proper divisors (10056134).

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

7820890 is a wasteful number, since it uses less digits than its factorization.

7820890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 7820890 is about 2796.5854179696. The cubic root of 7820890 is about 198.4961369898.

The spelling of 7820890 in words is "seven million, eight hundred twenty thousand, eight hundred ninety".