820140876 has 120 divisors (see below), whose sum is σ = 2220671376. Its totient is φ = 263761920.

The previous prime is 820140869. The next prime is 820140943. The reversal of 820140876 is 678041028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 820140876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1421100 + ... + 1421676.

Almost surely, 2^820140876 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 820140876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110335688).

820140876 is an abundant number, since it is smaller than the sum of its proper divisors (1400530500).

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

820140876 is a wasteful number, since it uses less digits than its factorization.

820140876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 820140876 is about 28638.1018225720. The cubic root of 820140876 is about 936.0437602815.

The spelling of 820140876 in words is "eight hundred twenty million, one hundred forty thousand, eight hundred seventy-six".