80770400640 has 448 divisors, whose sum is σ = 291138999840. Its totient is φ = 21417467904.

The previous prime is 80770400603. The next prime is 80770400647. The reversal of 80770400640 is 4600407708.

It is a happy number.

80770400640 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 0 + 4 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×80770400640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80770400595 and 80770400604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80770400647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108708109 + ... + 108708851.

Almost surely, 2^80770400640 is an apocalyptic number.

80770400640 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 80770400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145569499920).

80770400640 is an abundant number, since it is smaller than the sum of its proper divisors (210368599200).

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

80770400640 is an equidigital number, since it uses as much as digits as its factorization.

80770400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 80770400640 in words is "eighty billion, seven hundred seventy million, four hundred thousand, six hundred forty".