807840 has 192 divisors, whose sum is σ = 3265920. Its totient is φ = 184320.

The previous prime is 807817. The next prime is 807869. The reversal of 807840 is 48708.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47512 + ... + 47528.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁸⁰⁷⁸⁴⁰ is an apocalyptic number.

807840 is a gapful number since it is divisible by the number (80) 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 807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

807840 is an abundant number, since it is smaller than the sum of its proper divisors (2458080).

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

807840 is a wasteful number, since it uses less digits than its factorization.

807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 38 counting only the distinct ones).

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

The square root of 807840 is about 898.7991989316. The cubic root of 807840 is about 93.1340418829.

It can be divided in two parts, 8078 and 40, that added together give a palindrome (8118).

The spelling of 807840 in words is "eight hundred seven thousand, eight hundred forty".