807226675200 has 468 divisors, whose sum is σ = 3154198536528. Its totient is φ = 195688857600.

The previous prime is 807226675193. The next prime is 807226675201. The reversal of 807226675200 is 2576622708.

It is a super-2 number, since 2×807226675200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (807226675201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10097787 + ... + 10177413.

Almost surely, 2^807226675200 is an apocalyptic number.

807226675200 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 807226675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577099268264).

807226675200 is an abundant number, since it is smaller than the sum of its proper divisors (2346971861328).

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

807226675200 is a wasteful number, since it uses less digits than its factorization.

807226675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79678 (or 79648 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 807226675200 in words is "eight hundred seven billion, two hundred twenty-six million, six hundred seventy-five thousand, two hundred".