73847760 has 160 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 16687104.

The previous prime is 73847747. The next prime is 73847777. The reversal of 73847760 is 6774837.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189646 + ... + 190034.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^73847760 is an apocalyptic number.

73847760 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 73847760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

73847760 is an abundant number, since it is smaller than the sum of its proper divisors (190778160).

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

73847760 is a wasteful number, since it uses less digits than its factorization.

73847760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 73847760 is about 8593.4719409561. The cubic root of 73847760 is about 419.5455401764.

The spelling of 73847760 in words is "seventy-three million, eight hundred forty-seven thousand, seven hundred sixty".