760104515742 has 96 divisors (see below), whose sum is σ = 1800047387040. Its totient is φ = 212553158400.

The previous prime is 760104515741. The next prime is 760104515777. The reversal of 760104515742 is 247515401067.

It is a junction number, because it is equal to n+sod(n) for n = 760104515694 and 760104515703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760104515741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37940184 + ... + 37960212.

It is an arithmetic number, because the mean of its divisors is an integer number (18750493615).

Almost surely, 2^760104515742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760104515742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900023693520).

760104515742 is an abundant number, since it is smaller than the sum of its proper divisors (1039942871298).

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

760104515742 is a wasteful number, since it uses less digits than its factorization.

760104515742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24079 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 760104515742 in words is "seven hundred sixty billion, one hundred four million, five hundred fifteen thousand, seven hundred forty-two".