823135280 has 40 divisors (see below), whose sum is σ = 2087772624. Its totient is φ = 299321600.

The previous prime is 823135273. The next prime is 823135289. The reversal of 823135280 is 82531328.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (823135289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466811 + ... + 468570.

Almost surely, 2^823135280 is an apocalyptic number.

823135280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823135280 is an abundant number, since it is smaller than the sum of its proper divisors (1264637344).

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

823135280 is a wasteful number, since it uses less digits than its factorization.

823135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935405 (or 935399 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 823135280 is about 28690.3342608621. The cubic root of 823135280 is about 937.1815684166.

The spelling of 823135280 in words is "eight hundred twenty-three million, one hundred thirty-five thousand, two hundred eighty".