7820820 has 96 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 1786752.

The previous prime is 7820803. The next prime is 7820821. The reversal of 7820820 is 280287.

It is a super-2 number, since 2×7820820² = 122330450944800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 2^7820820 is an apocalyptic number.

7820820 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 7820820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

7820820 is an abundant number, since it is smaller than the sum of its proper divisors (19999980).

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

7820820 is a wasteful number, since it uses less digits than its factorization.

7820820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7820820 is about 2796.5729026793. The cubic root of 7820820 is about 198.4955447822.

The spelling of 7820820 in words is "seven million, eight hundred twenty thousand, eight hundred twenty".