766220224 has 112 divisors (see below), whose sum is σ = 1918045440. Its totient is φ = 295004160.

The previous prime is 766220219. The next prime is 766220237. The reversal of 766220224 is 422022667.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×766220224² = 1174186863333220352, which contains 22 as substring.

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, 437719 + ... + 439465.

Almost surely, 2^766220224 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 766220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959022720).

766220224 is an abundant number, since it is smaller than the sum of its proper divisors (1151825216).

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

766220224 is a wasteful number, since it uses less digits than its factorization.

766220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 766220224 is about 27680.6832285621. The cubic root of 766220224 is about 915.0634389212.

The spelling of 766220224 in words is "seven hundred sixty-six million, two hundred twenty thousand, two hundred twenty-four".