73886400 has 252 divisors, whose sum is σ = 300534832. Its totient is φ = 16865280.

The previous prime is 73886381. The next prime is 73886401. The reversal of 73886400 is 468837.

73886400 is a `hidden beast` number, since 7 + 3 + 8 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (73886401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100434 + ... + 101166.

Almost surely, 2^73886400 is an apocalyptic number.

73886400 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 73886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150267416).

73886400 is an abundant number, since it is smaller than the sum of its proper divisors (226648432).

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

73886400 is a wasteful number, since it uses less digits than its factorization.

73886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73886400 is about 8595.7198651422. The cubic root of 73886400 is about 419.6187015607.

The spelling of 73886400 in words is "seventy-three million, eight hundred eighty-six thousand, four hundred".