73759980 has 96 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 16577280.

The previous prime is 73759979. The next prime is 73759999. The reversal of 73759980 is 8995737.

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, 24181 + ... + 27059.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^73759980 is an apocalyptic number.

73759980 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 73759980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

73759980 is an abundant number, since it is smaller than the sum of its proper divisors (166224660).

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

73759980 is a wasteful number, since it uses less digits than its factorization.

73759980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 73759980 is about 8588.3630570674. The cubic root of 73759980 is about 419.3792417039.

The spelling of 73759980 in words is "seventy-three million, seven hundred fifty-nine thousand, nine hundred eighty".