73853808 has 80 divisors (see below), whose sum is σ = 221104896. Its totient is φ = 20805120.

The previous prime is 73853803. The next prime is 73853821. The reversal of 73853808 is 80835837.

It is a super-2 number, since 2×73853808² = 10908769912201728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 73853808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73853803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23023 + ... + 26033.

Almost surely, 2^73853808 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 73853808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110552448).

73853808 is an abundant number, since it is smaller than the sum of its proper divisors (147251088).

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

73853808 is a wasteful number, since it uses less digits than its factorization.

73853808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 73853808 is about 8593.8238287738. The cubic root of 73853808 is about 419.5569932079.

The spelling of 73853808 in words is "seventy-three million, eight hundred fifty-three thousand, eight hundred eight".