80072442000 has 480 divisors, whose sum is σ = 296580660480. Its totient is φ = 20650464000.

The previous prime is 80072441993. The next prime is 80072442001. The reversal of 80072442000 is 24427008.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80072442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51893229 + ... + 51894771.

It is an arithmetic number, because the mean of its divisors is an integer number (617876376).

Almost surely, 2^80072442000 is an apocalyptic number.

80072442000 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 80072442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148290330240).

80072442000 is an abundant number, since it is smaller than the sum of its proper divisors (216508218480).

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

80072442000 is a wasteful number, since it uses less digits than its factorization.

80072442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 80072442000 its reverse (24427008), we get a palindrome (80096869008).

It can be divided in two parts, 800724 and 42000, that added together give a square (842724 = 918²).

The spelling of 80072442000 in words is "eighty billion, seventy-two million, four hundred forty-two thousand".