761506406320 has 80 divisors (see below), whose sum is σ = 1932738796800. Its totient is φ = 276727673600.

The previous prime is 761506406299. The next prime is 761506406327. The reversal of 761506406320 is 23604605167.

761506406320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (761506406327) 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, 1043331 + ... + 1616029.

It is an arithmetic number, because the mean of its divisors is an integer number (24159234960).

Almost surely, 2^761506406320 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 761506406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966369398400).

761506406320 is an abundant number, since it is smaller than the sum of its proper divisors (1171232390480).

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

761506406320 is a wasteful number, since it uses less digits than its factorization.

761506406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574234 (or 574228 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 761506406320 in words is "seven hundred sixty-one billion, five hundred six million, four hundred six thousand, three hundred twenty".