75778781472 has 120 divisors (see below), whose sum is σ = 223037423532. Its totient is φ = 25239859200.

The previous prime is 75778781459. The next prime is 75778781479. The reversal of 75778781472 is 27418787757.

75778781472 is a `hidden beast` number, since 7 + 5 + 7 + 7 + 87 + 81 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75468880656 + 309900816 = 274716^2 + 17604^2 .

It is a super-2 number, since 2×75778781472² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75778781479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3516972 + ... + 3538452.

Almost surely, 2^75778781472 is an apocalyptic number.

75778781472 is a gapful number since it is divisible by the number (72) 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 75778781472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111518711766).

75778781472 is an abundant number, since it is smaller than the sum of its proper divisors (147258642060).

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

75778781472 is a wasteful number, since it uses less digits than its factorization.

75778781472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22864 (or 22847 counting only the distinct ones).

The product of its digits is 43025920, while the sum is 63.

The spelling of 75778781472 in words is "seventy-five billion, seven hundred seventy-eight million, seven hundred eighty-one thousand, four hundred seventy-two".