73810380 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 16323840.

The previous prime is 73810339. The next prime is 73810391. The reversal of 73810380 is 8301837.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 10186 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^73810380 is an apocalyptic number.

73810380 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 73810380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

73810380 is an abundant number, since it is smaller than the sum of its proper divisors (170044980).

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

73810380 is a wasteful number, since it uses less digits than its factorization.

73810380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 73810380 is about 8591.2967589299. The cubic root of 73810380 is about 419.4747401996.

The spelling of 73810380 in words is "seventy-three million, eight hundred ten thousand, three hundred eighty".