73882800 has 120 divisors (see below), whose sum is σ = 263006480. Its totient is φ = 19699200.

The previous prime is 73882793. The next prime is 73882819. The reversal of 73882800 is 828837.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 7380 + ... + 14220.

Almost surely, 2^73882800 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 73882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131503240).

73882800 is an abundant number, since it is smaller than the sum of its proper divisors (189123680).

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

73882800 is a wasteful number, since it uses less digits than its factorization.

73882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 73882800 is about 8595.5104560462. The cubic root of 73882800 is about 419.6118863603.

It can be divided in two parts, 738 and 82800, that added together give a palindrome (83538).

The spelling of 73882800 in words is "seventy-three million, eight hundred eighty-two thousand, eight hundred".