800053200 has 180 divisors, whose sum is σ = 2879586528. Its totient is φ = 213321600.

The previous prime is 800053193. The next prime is 800053237. The reversal of 800053200 is 2350008.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93085 + ... + 101315.

Almost surely, 2^800053200 is an apocalyptic number.

800053200 is a gapful number since it is divisible by the number (80) 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 800053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439793264).

800053200 is an abundant number, since it is smaller than the sum of its proper divisors (2079533328).

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

800053200 is a wasteful number, since it uses less digits than its factorization.

800053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 800053200 is about 28285.2116838464. The cubic root of 800053200 is about 928.3383439769.

The spelling of 800053200 in words is "eight hundred million, fifty-three thousand, two hundred".