760894464 has 264 divisors, whose sum is σ = 2352248640. Its totient is φ = 218071040.

The previous prime is 760894457. The next prime is 760894471. The reversal of 760894464 is 464498067.

It is an interprime number because it is at equal distance from previous prime (760894457) and next prime (760894471).

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8549332 + ... + 8549420.

Almost surely, 2^760894464 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 760894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176124320).

760894464 is an abundant number, since it is smaller than the sum of its proper divisors (1591354176).

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

760894464 is a wasteful number, since it uses less digits than its factorization.

760894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 760894464 is about 27584.3155434388. The cubic root of 760894464 is about 912.9384000632.

The spelling of 760894464 in words is "seven hundred sixty million, eight hundred ninety-four thousand, four hundred sixty-four".