766061280 has 192 divisors, whose sum is σ = 2694021120. Its totient is φ = 203309568.

The previous prime is 766061279. The next prime is 766061291. The reversal of 766061280 is 82160667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1654329 + ... + 1654791.

It is an arithmetic number, because the mean of its divisors is an integer number (14031360).

Almost surely, 2^766061280 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 766061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347010560).

766061280 is an abundant number, since it is smaller than the sum of its proper divisors (1927959840).

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

766061280 is a wasteful number, since it uses less digits than its factorization.

766061280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 766061280 is about 27677.8120522559. The cubic root of 766061280 is about 915.0001612469. Note that the first 3 decimals are identical.

The spelling of 766061280 in words is "seven hundred sixty-six million, sixty-one thousand, two hundred eighty".