73864480 has 24 divisors (see below), whose sum is σ = 174505212. Its totient is φ = 29545728.

The previous prime is 73864463. The next prime is 73864489. The reversal of 73864480 is 8446837.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 659344 = 8556^2 + 812^2 .

It is a super-2 number, since 2×73864480² = 10911922811340800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (73864489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230667 + ... + 230986.

Almost surely, 2^73864480 is an apocalyptic number.

It is an amenable number.

73864480 is an abundant number, since it is smaller than the sum of its proper divisors (100640732).

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

73864480 is a wasteful number, since it uses less digits than its factorization.

73864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461668 (or 461660 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 73864480 is about 8594.4447173741. Note that the first 3 decimals coincide. The cubic root of 73864480 is about 419.5772011326.

The spelling of 73864480 in words is "seventy-three million, eight hundred sixty-four thousand, four hundred eighty".