80072746026 has 192 divisors, whose sum is σ = 211805798400. Its totient is φ = 19947441024.

The previous prime is 80072746021. The next prime is 80072746031. The reversal of 80072746026 is 62064727008.

It is an interprime number because it is at equal distance from previous prime (80072746021) and next prime (80072746031).

It is a super-2 number, since 2×80072746026² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80072746021) 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, 27811255 + ... + 27814133.

It is an arithmetic number, because the mean of its divisors is an integer number (1103155200).

Almost surely, 2^80072746026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80072746026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105902899200).

80072746026 is an abundant number, since it is smaller than the sum of its proper divisors (131733052374).

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

80072746026 is a wasteful number, since it uses less digits than its factorization.

80072746026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 80072746026 in words is "eighty billion, seventy-two million, seven hundred forty-six thousand, twenty-six".