821763072 has 264 divisors, whose sum is σ = 2697290960. Its totient is φ = 239542272.

The previous prime is 821763071. The next prime is 821763121. The reversal of 821763072 is 270367128.

821763072 is a `hidden beast` number, since 8 + 2 + 17 + 630 + 7 + 2 = 666.

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 (821763071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43250679 + ... + 43250697.

Almost surely, 2^821763072 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 821763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348645480).

821763072 is an abundant number, since it is smaller than the sum of its proper divisors (1875527888).

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

821763072 is a wasteful number, since it uses less digits than its factorization.

821763072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 821763072 is about 28666.4101693951. The cubic root of 821763072 is about 936.6605024579.

It can be divided in two parts, 8217 and 63072, that added together give a square (71289 = 267²).

The spelling of 821763072 in words is "eight hundred twenty-one million, seven hundred sixty-three thousand, seventy-two".