800182152 has 480 divisors, whose sum is σ = 2979504000. Its totient is φ = 198132480.

The previous prime is 800182147. The next prime is 800182157. The reversal of 800182152 is 251281008.

It is an interprime number because it is at equal distance from previous prime (800182147) and next prime (800182157).

It is a super-2 number, since 2×800182152² = 1280582952758702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (800182157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10128849 + ... + 10128927.

It is an arithmetic number, because the mean of its divisors is an integer number (6207300).

Almost surely, 2^800182152 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 800182152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489752000).

800182152 is an abundant number, since it is smaller than the sum of its proper divisors (2179321848).

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

800182152 is a wasteful number, since it uses less digits than its factorization.

800182152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 800182152 is about 28287.4910870512. The cubic root of 800182152 is about 928.3882175999.

The spelling of 800182152 in words is "eight hundred million, one hundred eighty-two thousand, one hundred fifty-two".