800224425 has 432 divisors, whose sum is σ = 2161111680. Its totient is φ = 273715200.

The previous prime is 800224423. The next prime is 800224427. The reversal of 800224425 is 524422008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800224423) and next prime (800224427).

It is not a de Polignac number, because 800224425 - 2¹ = 800224423 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (800224423) 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 431 ways as a sum of consecutive naturals, for example, 42117066 + ... + 42117084.

Almost surely, 2^800224425 is an apocalyptic number.

800224425 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

800224425 is an abundant number, since it is smaller than the sum of its proper divisors (1360887255).

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

800224425 is a wasteful number, since it uses less digits than its factorization.

800224425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 800224425 is about 28288.2382802464. The cubic root of 800224425 is about 928.4045659876.

The spelling of 800224425 in words is "eight hundred million, two hundred twenty-four thousand, four hundred twenty-five".