71783852400 has 360 divisors, whose sum is σ = 278213113360. Its totient is φ = 17669560320.

The previous prime is 71783852389. The next prime is 71783852407. The reversal of 71783852400 is 425838717.

It is a tau number, because it is divible by the number of its divisors (360).

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 (71783852407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1235196 + ... + 1292004.

Almost surely, 2^71783852400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71783852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139106556680).

71783852400 is an abundant number, since it is smaller than the sum of its proper divisors (206429260960).

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

71783852400 is a wasteful number, since it uses less digits than its factorization.

71783852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56855 (or 56832 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 71783852400 in words is "seventy-one billion, seven hundred eighty-three million, eight hundred fifty-two thousand, four hundred".