73782854400 has 432 divisors, whose sum is σ = 251647337984. Its totient is φ = 19024035840.

The previous prime is 73782854377. The next prime is 73782854429. The reversal of 73782854400 is 445828737.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73782854400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201043017 + ... + 201043383.

Almost surely, 2^73782854400 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 73782854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125823668992).

73782854400 is an abundant number, since it is smaller than the sum of its proper divisors (177864483584).

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

73782854400 is a wasteful number, since it uses less digits than its factorization.

73782854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 73782854400 in words is "seventy-three billion, seven hundred eighty-two million, eight hundred fifty-four thousand, four hundred".