74618880 has 192 divisors, whose sum is σ = 273611520. Its totient is φ = 17006592.

The previous prime is 74618867. The next prime is 74618881. The reversal of 74618880 is 8881647.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74618881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214867 + ... + 215213.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 2^74618880 is an apocalyptic number.

74618880 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 74618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760).

74618880 is an abundant number, since it is smaller than the sum of its proper divisors (198992640).

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

74618880 is a wasteful number, since it uses less digits than its factorization.

74618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 74618880 is about 8638.2220392856. Note that the first 3 decimals coincide. The cubic root of 74618880 is about 421.0007880028. Note that the first 3 decimals are identical.

The spelling of 74618880 in words is "seventy-four million, six hundred eighteen thousand, eight hundred eighty".