80376634800 has 960 divisors, whose sum is σ = 375518822400. Its totient is φ = 15819494400.

The previous prime is 80376634799. The next prime is 80376634817. The reversal of 80376634800 is 843667308.

80376634800 is a `hidden beast` number, since 8 + 0 + 3 + 7 + 6 + 634 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15797857 + ... + 15802943.

It is an arithmetic number, because the mean of its divisors is an integer number (391165440).

Almost surely, 2^80376634800 is an apocalyptic number.

80376634800 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 80376634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187759411200).

80376634800 is an abundant number, since it is smaller than the sum of its proper divisors (295142187600).

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

80376634800 is a wasteful number, since it uses less digits than its factorization.

80376634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 80376634800 in words is "eighty billion, three hundred seventy-six million, six hundred thirty-four thousand, eight hundred".