820157180 has 48 divisors (see below), whose sum is σ = 1831455360. Its totient is φ = 307442688.

The previous prime is 820157159. The next prime is 820157183. The reversal of 820157180 is 81751028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820157183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76214 + ... + 86306.

It is an arithmetic number, because the mean of its divisors is an integer number (38155320).

Almost surely, 2^820157180 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 820157180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915727680).

820157180 is an abundant number, since it is smaller than the sum of its proper divisors (1011298180).

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

820157180 is a wasteful number, since it uses less digits than its factorization.

820157180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 820157180 is about 28638.3864768950. The cubic root of 820157180 is about 936.0499629380.

The spelling of 820157180 in words is "eight hundred twenty million, one hundred fifty-seven thousand, one hundred eighty".