801388224 has 168 divisors, whose sum is σ = 2827304480. Its totient is φ = 211341312.

The previous prime is 801388219. The next prime is 801388229. The reversal of 801388224 is 422883108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (801388219) and next prime (801388229).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (801388229) 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, 44772 + ... + 60060.

Almost surely, 2^801388224 is an apocalyptic number.

801388224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413652240).

801388224 is an abundant number, since it is smaller than the sum of its proper divisors (2025916256).

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

801388224 is a wasteful number, since it uses less digits than its factorization.

801388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 801388224 is about 28308.8011756061. The cubic root of 801388224 is about 928.8544201789.

The spelling of 801388224 in words is "eight hundred one million, three hundred eighty-eight thousand, two hundred twenty-four".