73799040 has 384 divisors, whose sum is σ = 300614400. Its totient is φ = 15040512.

The previous prime is 73799017. The next prime is 73799041. The reversal of 73799040 is 4099737.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 73799040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73799041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3884151 + ... + 3884169.

It is an arithmetic number, because the mean of its divisors is an integer number (782850).

Almost surely, 2^73799040 is an apocalyptic number.

73799040 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 73799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150307200).

73799040 is an abundant number, since it is smaller than the sum of its proper divisors (226815360).

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

73799040 is a wasteful number, since it uses less digits than its factorization.

73799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 73799040 is about 8590.6367633604. The cubic root of 73799040 is about 419.4532568292.

The spelling of 73799040 in words is "seventy-three million, seven hundred ninety-nine thousand, forty".