766497984 has 224 divisors, whose sum is σ = 2409139200. Its totient is φ = 214953984.

The previous prime is 766497973. The next prime is 766498009. The reversal of 766497984 is 489794667.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×766497984³ (a number of 28 digits) contains 333 as substring.

Its product of digits (18289152) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6783112 + ... + 6783224.

Almost surely, 2^766497984 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 766497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204569600).

766497984 is an abundant number, since it is smaller than the sum of its proper divisors (1642641216).

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

766497984 is a wasteful number, since it uses less digits than its factorization.

766497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 766497984 is about 27685.6999911507. The cubic root of 766497984 is about 915.1739977860.

The spelling of 766497984 in words is "seven hundred sixty-six million, four hundred ninety-seven thousand, nine hundred eighty-four".