80764473600 has 432 divisors, whose sum is σ = 305728765440. Its totient is φ = 20841062400.

The previous prime is 80764473593. The next prime is 80764473623. The reversal of 80764473600 is 637446708.

80764473600 is a `hidden beast` number, since 80 + 76 + 447 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5349262 + ... + 5364338.

Almost surely, 2^80764473600 is an apocalyptic number.

80764473600 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 80764473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152864382720).

80764473600 is an abundant number, since it is smaller than the sum of its proper divisors (224964291840).

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

80764473600 is a wasteful number, since it uses less digits than its factorization.

80764473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 80764473600 in words is "eighty billion, seven hundred sixty-four million, four hundred seventy-three thousand, six hundred".