73830840 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 18754560.

The previous prime is 73830833. The next prime is 73830853. The reversal of 73830840 is 4803837.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330969 + ... + 331191.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^73830840 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 73830840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

73830840 is an abundant number, since it is smaller than the sum of its proper divisors (158412360).

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

73830840 is a wasteful number, since it uses less digits than its factorization.

73830840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 73830840 is about 8592.4874163423. The cubic root of 73830840 is about 419.5134956352.

The spelling of 73830840 in words is "seventy-three million, eight hundred thirty thousand, eight hundred forty".