803764 has 36 divisors (see below), whose sum is σ = 1614060. Its totient is φ = 349440.

The previous prime is 803749. The next prime is 803813. The reversal of 803764 is 467308.

803764 = T₉₇ + T₉₈ + ... + T₁₇₈.

It can be written as a sum of positive squares in 6 ways, for example, as 302500 + 501264 = 550^2 + 708^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19584 + ... + 19624.

It is an arithmetic number, because the mean of its divisors is an integer number (44835).

2⁸⁰³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

803764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

803764 is a wasteful number, since it uses less digits than its factorization.

803764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 803764 is about 896.5288617775. The cubic root of 803764 is about 92.9771401015.

It can be divided in two parts, 80 and 3764, that added together give a square (3844 = 62²).

The spelling of 803764 in words is "eight hundred three thousand, seven hundred sixty-four".