820374071000 has 96 divisors (see below), whose sum is σ = 2110056661440. Its totient is φ = 298317800000.

The previous prime is 820374070991. The next prime is 820374071009. The reversal of 820374071000 is 170473028.

It is a happy number.

820374071000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820374070991) and next prime (820374071009).

It is a super-2 number, since 2×820374071000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820374071009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3268976 + ... + 3510975.

It is an arithmetic number, because the mean of its divisors is an integer number (21979756890).

Almost surely, 2^820374071000 is an apocalyptic number.

It is an amenable number.

820374071000 is an abundant number, since it is smaller than the sum of its proper divisors (1289682590440).

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

820374071000 is a wasteful number, since it uses less digits than its factorization.

820374071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779994 (or 6779969 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 820374071000 in words is "eight hundred twenty billion, three hundred seventy-four million, seventy-one thousand".