766415 has 12 divisors (see below), whose sum is σ = 996984. Its totient is φ = 565344.

The previous prime is 766399. The next prime is 766421. The reversal of 766415 is 514667.

It is not a de Polignac number, because 766415 - 2⁴ = 766399 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (83082).

2⁷⁶⁶⁴¹⁵ is an apocalyptic number.

766415 is a deficient number, since it is larger than the sum of its proper divisors (230569).

766415 is a wasteful number, since it uses less digits than its factorization.

766415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 925 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 766415 is about 875.4513121813. The cubic root of 766415 is about 91.5140969850.

It can be divided in two parts, 7664 and 15, that multiplied together give a triangular number (114960 = T₄₇₉).

The spelling of 766415 in words is "seven hundred sixty-six thousand, four hundred fifteen".