75801440340 has 36 divisors (see below), whose sum is σ = 229931036244. Its totient is φ = 20213717376.

The previous prime is 75801440339. The next prime is 75801440347. The reversal of 75801440340 is 4304410857.

75801440340 is a `hidden beast` number, since 7 + 580 + 1 + 4 + 40 + 34 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43750415556 + 32051024784 = 209166^2 + 179028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75801440295 and 75801440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75801440347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210559377 + ... + 210559736.

It is an arithmetic number, because the mean of its divisors is an integer number (6386973229).

Almost surely, 2^75801440340 is an apocalyptic number.

It is an amenable number.

75801440340 is an abundant number, since it is smaller than the sum of its proper divisors (154129595904).

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

75801440340 is a wasteful number, since it uses less digits than its factorization.

75801440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421119128 (or 421119123 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 75801440340 in words is "seventy-five billion, eight hundred one million, four hundred forty thousand, three hundred forty".