766917450 has 192 divisors, whose sum is σ = 2306102400. Its totient is φ = 186278400.

The previous prime is 766917449. The next prime is 766917461. The reversal of 766917450 is 54719667.

It is a happy number.

It is a super-2 number, since 2×766917450² = 1176324750229005000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 766917396 and 766917405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561705 + ... + 1562195.

It is an arithmetic number, because the mean of its divisors is an integer number (12010950).

Almost surely, 2^766917450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766917450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153051200).

766917450 is an abundant number, since it is smaller than the sum of its proper divisors (1539184950).

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

766917450 is a wasteful number, since it uses less digits than its factorization.

766917450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 766917450 is about 27693.2744542786. The cubic root of 766917450 is about 915.3409103235.

The spelling of 766917450 in words is "seven hundred sixty-six million, nine hundred seventeen thousand, four hundred fifty".