74688480 has 288 divisors, whose sum is σ = 282338784. Its totient is φ = 18579456.

The previous prime is 74688479. The next prime is 74688503. The reversal of 74688480 is 8488647.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660904 + ... + 661016.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^74688480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

74688480 is an abundant number, since it is smaller than the sum of its proper divisors (207650304).

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

74688480 is a wasteful number, since it uses less digits than its factorization.

74688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 74688480 is about 8642.2497071075. The cubic root of 74688480 is about 421.1316420587.

The spelling of 74688480 in words is "seventy-four million, six hundred eighty-eight thousand, four hundred eighty".