766897248 has 96 divisors (see below), whose sum is σ = 2188601856. Its totient is φ = 233722368.

The previous prime is 766897237. The next prime is 766897249. The reversal of 766897248 is 842798667.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766897249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130665 + ... + 136407.

It is an arithmetic number, because the mean of its divisors is an integer number (22797936).

Almost surely, 2^766897248 is an apocalyptic number.

766897248 is a gapful number since it is divisible by the number (78) 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 766897248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094300928).

766897248 is an abundant number, since it is smaller than the sum of its proper divisors (1421704608).

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

766897248 is a wasteful number, since it uses less digits than its factorization.

766897248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5868 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 766897248 is about 27692.9097062768. The cubic root of 766897248 is about 915.3328730050.

The spelling of 766897248 in words is "seven hundred sixty-six million, eight hundred ninety-seven thousand, two hundred forty-eight".