80367206400 has 1080 divisors, whose sum is σ = 327161456160. Its totient is φ = 19322634240.

The previous prime is 80367206377. The next prime is 80367206401. The reversal of 80367206400 is 460276308.

80367206400 is a `hidden beast` number, since 8 + 0 + 3 + 6 + 7 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80367206401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1869004779 + ... + 1869004821.

Almost surely, 2^80367206400 is an apocalyptic number.

80367206400 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 80367206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163580728080).

80367206400 is an abundant number, since it is smaller than the sum of its proper divisors (246794249760).

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

80367206400 is a wasteful number, since it uses less digits than its factorization.

80367206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 80367206400 in words is "eighty billion, three hundred sixty-seven million, two hundred six thousand, four hundred".