766745280 has 336 divisors, whose sum is σ = 3061191744. Its totient is φ = 172523520.

The previous prime is 766745269. The next prime is 766745303. The reversal of 766745280 is 82547667.

766745280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-4 number, since 4×766745280⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

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, 1471420 + ... + 1471940.

Almost surely, 2^766745280 is an apocalyptic number.

766745280 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 766745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530595872).

766745280 is an abundant number, since it is smaller than the sum of its proper divisors (2294446464).

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

766745280 is a wasteful number, since it uses less digits than its factorization.

766745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 766745280 is about 27690.1657633175. The cubic root of 766745280 is about 915.2724083663.

The spelling of 766745280 in words is "seven hundred sixty-six million, seven hundred forty-five thousand, two hundred eighty".