821066752 has 44 divisors (see below), whose sum is σ = 1790568216. Its totient is φ = 373207040.

The previous prime is 821066717. The next prime is 821066761. The reversal of 821066752 is 257660128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×821066752² = 1348301222479659008, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25183 + ... + 47710.

Almost surely, 2^821066752 is an apocalyptic number.

It is an amenable number.

821066752 is an abundant number, since it is smaller than the sum of its proper divisors (969501464).

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

821066752 is a wasteful number, since it uses less digits than its factorization.

821066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72924 (or 72906 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 821066752 is about 28654.2623705445. The cubic root of 821066752 is about 936.3958682958.

The spelling of 821066752 in words is "eight hundred twenty-one million, sixty-six thousand, seven hundred fifty-two".