806137940790 has 768 divisors, whose sum is σ = 2864218371840. Its totient is φ = 159365283840.

The previous prime is 806137940789. The next prime is 806137940791. The reversal of 806137940790 is 97049731608.

It is a happy number.

806137940790 is a `hidden beast` number, since 80 + 6 + 1 + 3 + 79 + 407 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (806137940789) and next prime (806137940791).

It is a super-2 number, since 2×806137940790² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806137940791) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 856681720 + ... + 856682660.

It is an arithmetic number, because the mean of its divisors is an integer number (3729451005).

Almost surely, 2^806137940790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806137940790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432109185920).

806137940790 is an abundant number, since it is smaller than the sum of its proper divisors (2058080431050).

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

806137940790 is a wasteful number, since it uses less digits than its factorization.

806137940790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 806137940790 in words is "eight hundred six billion, one hundred thirty-seven million, nine hundred forty thousand, seven hundred ninety".