800550436 has 81 divisors (see below), whose sum is σ = 1704727899. Its totient is φ = 327984048.

The previous prime is 800550431. The next prime is 800550437. The reversal of 800550436 is 634055008.

The square root of 800550436 is 28294.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 800550398 and 800550407.

It is not an unprimeable number, because it can be changed into a prime (800550431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17032965 + ... + 17033011.

Almost surely, 2^800550436 is an apocalyptic number.

800550436 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

800550436 is the 28294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800550436

800550436 is an abundant number, since it is smaller than the sum of its proper divisors (904177463).

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

800550436 is a wasteful number, since it uses less digits than its factorization.

800550436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 800550436 is about 928.5306260437.

Multiplying 800550436 by its product of nonzero digits (14400), we get a square (11527926278400 = 3395280²).

The spelling of 800550436 in words is "eight hundred million, five hundred fifty thousand, four hundred thirty-six".