760701312 has 384 divisors, whose sum is σ = 2749593600. Its totient is φ = 196853760.

The previous prime is 760701283. The next prime is 760701323. The reversal of 760701312 is 213107067.

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

It is a congruent number.

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, 4249639 + ... + 4249817.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^760701312 is an apocalyptic number.

760701312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

760701312 is an abundant number, since it is smaller than the sum of its proper divisors (1988892288).

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

760701312 is a wasteful number, since it uses less digits than its factorization.

760701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 760701312 is about 27580.8142011798. The cubic root of 760701312 is about 912.8611441453.

Adding to 760701312 its reverse (213107067), we get a palindrome (973808379).

The spelling of 760701312 in words is "seven hundred sixty million, seven hundred one thousand, three hundred twelve".