736764 has 48 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 209328.

The previous prime is 736741. The next prime is 736787. The reversal of 736764 is 467637.

It is an interprime number because it is at equal distance from previous prime (736741) and next prime (736787).

It is a super-3 number, since 3×736764³ = 1199793337436135232, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736764.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁷³⁶⁷⁶⁴ 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 736764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

736764 is an abundant number, since it is smaller than the sum of its proper divisors (1279236).

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

736764 is a wasteful number, since it uses less digits than its factorization.

736764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 736764 is about 858.3495791343. The cubic root of 736764 is about 90.3183785680.

The spelling of 736764 in words is "seven hundred thirty-six thousand, seven hundred sixty-four".