74800880 has 80 divisors (see below), whose sum is σ = 216843264. Its totient is φ = 23312640.

The previous prime is 74800879. The next prime is 74800883. The reversal of 74800880 is 8800847.

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 self number, because there is not a number n which added to its sum of digits gives 74800880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74800883) 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, 89 + ... + 12231.

Almost surely, 2^74800880 is an apocalyptic number.

74800880 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 74800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108421632).

74800880 is an abundant number, since it is smaller than the sum of its proper divisors (142042384).

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

74800880 is a wasteful number, since it uses less digits than its factorization.

74800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12168 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 74800880 is about 8648.7501987281. The cubic root of 74800880 is about 421.3427922977.

The spelling of 74800880 in words is "seventy-four million, eight hundred thousand, eight hundred eighty".