820107816 has 32 divisors (see below), whose sum is σ = 2236658400. Its totient is φ = 248517440.

The previous prime is 820107793. The next prime is 820107859. The reversal of 820107816 is 618701028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1552971 + ... + 1553498.

It is an arithmetic number, because the mean of its divisors is an integer number (69895575).

Almost surely, 2^820107816 is an apocalyptic number.

It is an amenable number.

820107816 is an abundant number, since it is smaller than the sum of its proper divisors (1416550584).

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

820107816 is a wasteful number, since it uses less digits than its factorization.

820107816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106489 (or 3106485 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 820107816 is about 28637.5246136952. The cubic root of 820107816 is about 936.0311827583.

The spelling of 820107816 in words is "eight hundred twenty million, one hundred seven thousand, eight hundred sixteen".