80667360400 has 135 divisors (see below), whose sum is σ = 213188633049. Its totient is φ = 29310864000.

The previous prime is 80667360377. The next prime is 80667360401. The reversal of 80667360400 is 406376608.

The square root of 80667360400 is 284020.

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., 29040249744 + 51627110656 = 170412^2 + 227216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80667360401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62483755 + ... + 62485045.

Almost surely, 2^80667360400 is an apocalyptic number.

80667360400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80667360400 is the 284020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80667360400

80667360400 is an abundant number, since it is smaller than the sum of its proper divisors (132521272649).

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

80667360400 is a wasteful number, since it uses less digits than its factorization.

80667360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 80667360400 in words is "eighty billion, six hundred sixty-seven million, three hundred sixty thousand, four hundred".