7890 has 16 divisors (see below), whose sum is σ = 19008. Its totient is φ = 2096.

The previous prime is 7883. The next prime is 7901. The reversal of 7890 is 987.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 7890.

It is an unprimeable number.

7890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1188).

7890 is an abundant number, since it is smaller than the sum of its proper divisors (11118).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504).

7890 is a wasteful number, since it uses less digits than its factorization.

7890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 7890 is about 88.8256719648. The cubic root of 7890 is about 19.9079099553.

Subtracting from 7890 its reverse (987), we obtain a triangular number (6903 = T_{117}).

The spelling of 7890 in words is "seven thousand, eight hundred ninety".

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