761720538240 has 384 divisors, whose sum is σ = 2648806196400. Its totient is φ = 201702998016.

The previous prime is 761720538239. The next prime is 761720538251. The reversal of 761720538240 is 42835027167.

761720538240 is a `hidden beast` number, since 7 + 6 + 1 + 72 + 0 + 538 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 578050007616 + 183670530624 = 760296^2 + 428568^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 892989654 + ... + 892990506.

Almost surely, 2^761720538240 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 761720538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324403098200).

761720538240 is an abundant number, since it is smaller than the sum of its proper divisors (1887085658160).

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

761720538240 is a wasteful number, since it uses less digits than its factorization.

761720538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 761720538240 in words is "seven hundred sixty-one billion, seven hundred twenty million, five hundred thirty-eight thousand, two hundred forty".