80442573376 has 105 divisors (see below), whose sum is σ = 176191292905. Its totient is φ = 36440011520.

The previous prime is 80442573353. The next prime is 80442573391. The reversal of 80442573376 is 67337524408.

The square root of 80442573376 is 283624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76109774400 + 4332798976 = 275880^2 + 65824^2 .

It is a super-2 number, since 2×80442573376² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 274547886 + ... + 274548178.

Almost surely, 2^80442573376 is an apocalyptic number.

80442573376 is the 283624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80442573376

80442573376 is an abundant number, since it is smaller than the sum of its proper divisors (95748719529).

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

80442573376 is an frugal number, since it uses more digits than its factorization.

80442573376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

Multiplying 80442573376 by its sum of digits (49), we get a square (3941686095424 = 1985368²).

The spelling of 80442573376 in words is "eighty billion, four hundred forty-two million, five hundred seventy-three thousand, three hundred seventy-six".