71799436800 has 1200 divisors, whose sum is σ = 327488226912. Its totient is φ = 15128985600.

The previous prime is 71799436799. The next prime is 71799436823. The reversal of 71799436800 is 863499717.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94348420 + ... + 94349180.

Almost surely, 2^71799436800 is an apocalyptic number.

71799436800 is a gapful number since it is divisible by the number (70) 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 71799436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163744113456).

71799436800 is an abundant number, since it is smaller than the sum of its proper divisors (255688790112).

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

71799436800 is a wasteful number, since it uses less digits than its factorization.

71799436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71799436800 in words is "seventy-one billion, seven hundred ninety-nine million, four hundred thirty-six thousand, eight hundred".