73900008 has 96 divisors (see below), whose sum is σ = 246355200. Its totient is φ = 19488384.

The previous prime is 73899979. The next prime is 73900009. The reversal of 73900008 is 80000937.

It is a happy number.

It is a super-2 number, since 2×73900008² = 10922422364800128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73900009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (2566200).

Almost surely, 2^73900008 is an apocalyptic number.

73900008 is a gapful number since it is divisible by the number (78) 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 73900008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123177600).

73900008 is an abundant number, since it is smaller than the sum of its proper divisors (172455192).

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

73900008 is a wasteful number, since it uses less digits than its factorization.

73900008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11311 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73900008 is about 8596.5113854400. The cubic root of 73900008 is about 419.6444610183.

The spelling of 73900008 in words is "seventy-three million, nine hundred thousand, eight".