820419876 has 36 divisors (see below), whose sum is σ = 2122071952. Its totient is φ = 267112944.

The previous prime is 820419871. The next prime is 820419877. The reversal of 820419876 is 678914028.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (820419871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263446 + ... + 266541.

Almost surely, 2^820419876 is an apocalyptic number.

820419876 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

820419876 is an abundant number, since it is smaller than the sum of its proper divisors (1301652076).

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

820419876 is a wasteful number, since it uses less digits than its factorization.

820419876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530040 (or 530035 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 820419876 is about 28642.9725412709. The cubic root of 820419876 is about 936.1498910730.

The spelling of 820419876 in words is "eight hundred twenty million, four hundred nineteen thousand, eight hundred seventy-six".