74198880 has 288 divisors, whose sum is σ = 307105344. Its totient is φ = 15925248.

The previous prime is 74198867. The next prime is 74198881. The reversal of 74198880 is 8889147.

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 not an unprimeable number, because it can be changed into a prime (74198881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171144 + ... + 171576.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^74198880 is an apocalyptic number.

74198880 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 74198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

74198880 is an abundant number, since it is smaller than the sum of its proper divisors (232906464).

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

74198880 is a wasteful number, since it uses less digits than its factorization.

74198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 74198880 is about 8613.8771758135. The cubic root of 74198880 is about 420.2094193720.

It can be divided in two parts, 74198 and 880, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 74198880 in words is "seventy-four million, one hundred ninety-eight thousand, eight hundred eighty".