783864 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 246240.

The previous prime is 783829. The next prime is 783869. The reversal of 783864 is 468387.

It is a super-2 number, since 2×783864² = 1228885540992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 4199.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁷⁸³⁸⁶⁴ 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 783864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

783864 is an abundant number, since it is smaller than the sum of its proper divisors (1520136).

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

783864 is a wasteful number, since it uses less digits than its factorization.

783864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 783864 is about 885.3609433446. The cubic root of 783864 is about 92.2033937358.

The spelling of 783864 in words is "seven hundred eighty-three thousand, eight hundred sixty-four".