73778400 has 108 divisors (see below), whose sum is σ = 260186472. Its totient is φ = 19672320.

The previous prime is 73778389. The next prime is 73778417. The reversal of 73778400 is 487737.

It is a happy number.

It is a super-3 number, since 3×73778400³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2077 + ... + 12323.

It is an arithmetic number, because the mean of its divisors is an integer number (2409134).

Almost surely, 2^73778400 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 73778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130093236).

73778400 is an abundant number, since it is smaller than the sum of its proper divisors (186408072).

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

73778400 is a wasteful number, since it uses less digits than its factorization.

73778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 73778400 is about 8589.4353714316. The cubic root of 73778400 is about 419.4141491730.

The spelling of 73778400 in words is "seventy-three million, seven hundred seventy-eight thousand, four hundred".