7869840 has 120 divisors (see below), whose sum is σ = 26914944. Its totient is φ = 1900800.

The previous prime is 7869791. The next prime is 7869871. The reversal of 7869840 is 489687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 7869792 and 7869801.

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, 28905 + ... + 29175.

Almost surely, 2^7869840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13457472).

7869840 is an abundant number, since it is smaller than the sum of its proper divisors (19045104).

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

7869840 is a wasteful number, since it uses less digits than its factorization.

7869840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7869840 is about 2805.3235107559. The cubic root of 7869840 is about 198.9093970694.

The spelling of 7869840 in words is "seven million, eight hundred sixty-nine thousand, eight hundred forty".