80429450400 has 864 divisors, whose sum is σ = 321846400512. Its totient is φ = 18761932800.

The previous prime is 80429450399. The next prime is 80429450459. The reversal of 80429450400 is 405492408.

80429450400 is a `hidden beast` number, since 80 + 42 + 94 + 50 + 400 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153784539 + ... + 153785061.

It is an arithmetic number, because the mean of its divisors is an integer number (372507408).

Almost surely, 2^80429450400 is an apocalyptic number.

80429450400 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 80429450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160923200256).

80429450400 is an abundant number, since it is smaller than the sum of its proper divisors (241416950112).

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

80429450400 is a wasteful number, since it uses less digits than its factorization.

80429450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 80429450400 in words is "eighty billion, four hundred twenty-nine million, four hundred fifty thousand, four hundred".