823442760 has 160 divisors (see below), whose sum is σ = 3163152960. Its totient is φ = 188210304.

The previous prime is 823442749. The next prime is 823442761. The reversal of 823442760 is 67244328.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 (823442761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4527 + ... + 40833.

It is an arithmetic number, because the mean of its divisors is an integer number (19769706).

Almost surely, 2^823442760 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 823442760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581576480).

823442760 is an abundant number, since it is smaller than the sum of its proper divisors (2339710200).

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

823442760 is a wasteful number, since it uses less digits than its factorization.

823442760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36337 (or 36324 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 823442760 is about 28695.6923596557. The cubic root of 823442760 is about 937.2982477856.

The spelling of 823442760 in words is "eight hundred twenty-three million, four hundred forty-two thousand, seven hundred sixty".