761538064 has 80 divisors (see below), whose sum is σ = 1754459136. Its totient is φ = 313344000.

The previous prime is 761538053. The next prime is 761538067. The reversal of 761538064 is 460835167.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (761538067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474864 + ... + 476464.

Almost surely, 2^761538064 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 761538064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877229568).

761538064 is an abundant number, since it is smaller than the sum of its proper divisors (992921072).

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

761538064 is a wasteful number, since it uses less digits than its factorization.

761538064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 761538064 is about 27595.9791274019. The cubic root of 761538064 is about 913.1957294722.

The spelling of 761538064 in words is "seven hundred sixty-one million, five hundred thirty-eight thousand, sixty-four".