824264080 has 60 divisors (see below), whose sum is σ = 2022657372. Its totient is φ = 312341760.

The previous prime is 824264029. The next prime is 824264081. The reversal of 824264080 is 80462428.

It can be written as a sum of positive squares in 2 ways, for example, as 247495824 + 576768256 = 15732^2 + 24016^2 .

It is a super-2 number, since 2×824264080² = 1358822547156492800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (824264081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14610 + ... + 43150.

Almost surely, 2^824264080 is an apocalyptic number.

824264080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011328686).

824264080 is an abundant number, since it is smaller than the sum of its proper divisors (1198393292).

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

824264080 is a wasteful number, since it uses less digits than its factorization.

824264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28592 (or 28567 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 824264080 is about 28709.9996516893. Note that the first 3 decimals coincide. The cubic root of 824264080 is about 937.6097715612.

The spelling of 824264080 in words is "eight hundred twenty-four million, two hundred sixty-four thousand, eighty".