806898377877120 has 1536 divisors, whose sum is σ = 3147774410880000. Its totient is φ = 194657438269440.

The previous prime is 806898377877101. The next prime is 806898377877131. The reversal of 806898377877120 is 21778773898608.

806898377877120 is a `hidden beast` number, since 8 + 0 + 6 + 89 + 8 + 377 + 87 + 71 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 806898377877120.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42063191049 + ... + 42063210231.

It is an arithmetic number, because the mean of its divisors is an integer number (2049332298750).

Almost surely, 2^{806898377877120} is an apocalyptic number.

806898377877120 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 806898377877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573887205440000).

806898377877120 is an abundant number, since it is smaller than the sum of its proper divisors (2340876033002880).

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

806898377877120 is a wasteful number, since it uses less digits than its factorization.

806898377877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439 (or 19390 counting only the distinct ones).

The product of its (nonzero) digits is 3186376704, while the sum is 81.

The spelling of 806898377877120 in words is "eight hundred six trillion, eight hundred ninety-eight billion, three hundred seventy-seven million, eight hundred seventy-seven thousand, one hundred twenty".