766704960 has 336 divisors, whose sum is σ = 3148096320. Its totient is φ = 175150080.

The previous prime is 766704949. The next prime is 766705001. The reversal of 766704960 is 69407667.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422455 + ... + 424265.

Almost surely, 2^766704960 is an apocalyptic number.

766704960 is a gapful number since it is divisible by the number (70) 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 766704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574048160).

766704960 is an abundant number, since it is smaller than the sum of its proper divisors (2381391360).

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

766704960 is a wasteful number, since it uses less digits than its factorization.

766704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 766704960 is about 27689.4376974326. The cubic root of 766704960 is about 915.2563646069.

The spelling of 766704960 in words is "seven hundred sixty-six million, seven hundred four thousand, nine hundred sixty".