766601088 has 128 divisors (see below), whose sum is σ = 2245501440. Its totient is φ = 229785600.

The previous prime is 766601071. The next prime is 766601093. The reversal of 766601088 is 880106667.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408793 + ... + 410663.

It is an arithmetic number, because the mean of its divisors is an integer number (17542980).

Almost surely, 2^766601088 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 766601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

766601088 is an abundant number, since it is smaller than the sum of its proper divisors (1478900352).

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

766601088 is a wasteful number, since it uses less digits than its factorization.

766601088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 766601088 is about 27687.5619728426. The cubic root of 766601088 is about 915.2150302355.

The spelling of 766601088 in words is "seven hundred sixty-six million, six hundred one thousand, eighty-eight".