74478320 has 80 divisors (see below), whose sum is σ = 199272960. Its totient is φ = 25358592.

The previous prime is 74478311. The next prime is 74478353. The reversal of 74478320 is 2387447.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99869 + ... + 100611.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^74478320 is an apocalyptic number.

74478320 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 74478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

74478320 is an abundant number, since it is smaller than the sum of its proper divisors (124794640).

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

74478320 is a wasteful number, since it uses less digits than its factorization.

74478320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 74478320 is about 8630.0822707550. The cubic root of 74478320 is about 420.7362746681.

The spelling of 74478320 in words is "seventy-four million, four hundred seventy-eight thousand, three hundred twenty".