758712864 has 288 divisors, whose sum is σ = 2630335680. Its totient is φ = 189278208.

The previous prime is 758712863. The next prime is 758712881. The reversal of 758712864 is 468217857.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (758712863) 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 47 ways as a sum of consecutive naturals, for example, 1161562 + ... + 1162214.

It is an arithmetic number, because the mean of its divisors is an integer number (9133110).

Almost surely, 2^758712864 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 758712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315167840).

758712864 is an abundant number, since it is smaller than the sum of its proper divisors (1871622816).

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

758712864 is a wasteful number, since it uses less digits than its factorization.

758712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 697 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 758712864 is about 27544.7429467040. The cubic root of 758712864 is about 912.0650538391.

The spelling of 758712864 in words is "seven hundred fifty-eight million, seven hundred twelve thousand, eight hundred sixty-four".