760076064 has 144 divisors (see below), whose sum is σ = 2388597120. Its totient is φ = 227335680.

The previous prime is 760076059. The next prime is 760076071. The reversal of 760076064 is 460670067.

760076064 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 (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248754 + ... + 251790.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480).

Almost surely, 2^760076064 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 760076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194298560).

760076064 is an abundant number, since it is smaller than the sum of its proper divisors (1628521056).

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

760076064 is a wasteful number, since it uses less digits than its factorization.

760076064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 760076064 is about 27569.4770353012. The cubic root of 760076064 is about 912.6109710290.

The spelling of 760076064 in words is "seven hundred sixty million, seventy-six thousand, sixty-four".