75774880 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 28419072.

The previous prime is 75774863. The next prime is 75774887. The reversal of 75774880 is 8847757.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 75774880.

It is not an unprimeable number, because it can be changed into a prime (75774887) 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, 216946 + ... + 217294.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^75774880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

75774880 is an abundant number, since it is smaller than the sum of its proper divisors (114737120).

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

75774880 is a wasteful number, since it uses less digits than its factorization.

75774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 46.

The square root of 75774880 is about 8704.8767940735. The cubic root of 75774880 is about 423.1637129512.

The spelling of 75774880 in words is "seventy-five million, seven hundred seventy-four thousand, eight hundred eighty".