80919446400 has 576 divisors, whose sum is σ = 324503917920. Its totient is φ = 19050577920.

The previous prime is 80919446383. The next prime is 80919446401. The reversal of 80919446400 is 464491908.

80919446400 is a `hidden beast` number, since 80 + 91 + 9 + 446 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80919446401) 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, 8606502 + ... + 8615898.

Almost surely, 2^80919446400 is an apocalyptic number.

80919446400 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 80919446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162251958960).

80919446400 is an abundant number, since it is smaller than the sum of its proper divisors (243584471520).

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

80919446400 is a wasteful number, since it uses less digits than its factorization.

80919446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80919446400 in words is "eighty billion, nine hundred nineteen million, four hundred forty-six thousand, four hundred".