819151872 has 176 divisors, whose sum is σ = 2722870272. Its totient is φ = 212705280.

The previous prime is 819151871. The next prime is 819151889. The reversal of 819151872 is 278151918.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×819151872² = 1342019578802208768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (819151871) 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, 234813 + ... + 238275.

Almost surely, 2^819151872 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 819151872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361435136).

819151872 is an abundant number, since it is smaller than the sum of its proper divisors (1903718400).

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

819151872 is a wasteful number, since it uses less digits than its factorization.

819151872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3486 counting only the distinct ones).

The product of its digits is 40320, while the sum is 42.

The square root of 819151872 is about 28620.8293380887. The cubic root of 819151872 is about 935.6673520248.

The spelling of 819151872 in words is "eight hundred nineteen million, one hundred fifty-one thousand, eight hundred seventy-two".