820752 has 20 divisors (see below), whose sum is σ = 2120400. Its totient is φ = 273568.

The previous prime is 820747. The next prime is 820753. The reversal of 820752 is 257028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (820753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8502 + ... + 8597.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

2⁸²⁰⁷⁵² is an apocalyptic number.

It is an amenable number.

820752 is an abundant number, since it is smaller than the sum of its proper divisors (1299648).

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

820752 is a wasteful number, since it uses less digits than its factorization.

820752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17110 (or 17104 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 820752 is about 905.9536411980. The cubic root of 820752 is about 93.6276198715.

The spelling of 820752 in words is "eight hundred twenty thousand, seven hundred fifty-two".