820248756 has 12 divisors (see below), whose sum is σ = 1913913792. Its totient is φ = 273416248.

The previous prime is 820248727. The next prime is 820248797. The reversal of 820248756 is 657842028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34177020 + ... + 34177043.

It is an arithmetic number, because the mean of its divisors is an integer number (159492816).

Almost surely, 2^820248756 is an apocalyptic number.

It is an amenable number.

820248756 is an abundant number, since it is smaller than the sum of its proper divisors (1093665036).

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

820248756 is a wasteful number, since it uses less digits than its factorization.

820248756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68354070 (or 68354068 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 820248756 is about 28639.9852653593. The cubic root of 820248756 is about 936.0848003745.

The spelling of 820248756 in words is "eight hundred twenty million, two hundred forty-eight thousand, seven hundred fifty-six".