80772004368 has 240 divisors, whose sum is σ = 258364035072. Its totient is φ = 23332320000.

The previous prime is 80772004363. The next prime is 80772004393. The reversal of 80772004368 is 86340027708.

It is a happy number.

80772004368 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 200 + 436 + 8 = 666.

It is a super-2 number, since 2×80772004368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80772004363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277693 + ... + 3302243.

Almost surely, 2^80772004368 is an apocalyptic number.

80772004368 is a gapful number since it is divisible by the number (88) 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 80772004368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129182017536).

80772004368 is an abundant number, since it is smaller than the sum of its proper divisors (177592030704).

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

80772004368 is a wasteful number, since it uses less digits than its factorization.

80772004368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24674 (or 24665 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 80772004368 in words is "eighty billion, seven hundred seventy-two million, four thousand, three hundred sixty-eight".