806882798400 has 672 divisors, whose sum is σ = 3242404853760. Its totient is φ = 171637678080.

The previous prime is 806882798339. The next prime is 806882798401. The reversal of 806882798400 is 4897288608.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806882798401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28579491 + ... + 28607709.

Almost surely, 2^806882798400 is an apocalyptic number.

806882798400 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 806882798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621202426880).

806882798400 is an abundant number, since it is smaller than the sum of its proper divisors (2435522055360).

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

806882798400 is a wasteful number, since it uses less digits than its factorization.

806882798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28311 (or 28296 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 806882798400 in words is "eight hundred six billion, eight hundred eighty-two million, seven hundred ninety-eight thousand, four hundred".