806290975815840 has 768 divisors, whose sum is σ = 2965430200320000. Its totient is φ = 204344396697600.

The previous prime is 806290975815817. The next prime is 806290975815863. The reversal of 806290975815840 is 48518579092608.

806290975815840 is a `hidden beast` number, since 80 + 6 + 290 + 9 + 75 + 8 + 158 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (806290975815817) and next prime (806290975815863).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5252667411 + ... + 5252820909.

It is an arithmetic number, because the mean of its divisors is an integer number (3861237240000).

Almost surely, 2^{806290975815840} is an apocalyptic number.

806290975815840 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 806290975815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482715100160000).

806290975815840 is an abundant number, since it is smaller than the sum of its proper divisors (2159139224504160).

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

806290975815840 is a wasteful number, since it uses less digits than its factorization.

806290975815840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154258 (or 154244 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 806290975815840 in words is "eight hundred six trillion, two hundred ninety billion, nine hundred seventy-five million, eight hundred fifteen thousand, eight hundred forty".