74114880 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 16465920.

The previous prime is 74114867. The next prime is 74114897. The reversal of 74114880 is 8841147.

It is a Cunningham number, because it is equal to 8609²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275386 + ... + 275654.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^74114880 is an apocalyptic number.

74114880 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 74114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

74114880 is an abundant number, since it is smaller than the sum of its proper divisors (202399680).

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

74114880 is a wasteful number, since it uses less digits than its factorization.

74114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 74114880 is about 8608.9999419212. Note that the first 4 decimals coincide. The cubic root of 74114880 is about 420.0507875092.

The spelling of 74114880 in words is "seventy-four million, one hundred fourteen thousand, eight hundred eighty".