820067200 has 96 divisors (see below), whose sum is σ = 2035885320. Its totient is φ = 326400000.

The previous prime is 820067179. The next prime is 820067207. The reversal of 820067200 is 2760028.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820067207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802690 + ... + 803710.

Almost surely, 2^820067200 is an apocalyptic number.

820067200 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 820067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017942660).

820067200 is an abundant number, since it is smaller than the sum of its proper divisors (1215818120).

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

820067200 is a wasteful number, since it uses less digits than its factorization.

820067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 820067200 is about 28636.8154654110. The cubic root of 820067200 is about 936.0157301274.

The spelling of 820067200 in words is "eight hundred twenty million, sixty-seven thousand, two hundred".