760416 has 36 divisors (see below), whose sum is σ = 2018772. Its totient is φ = 250624.

The previous prime is 760411. The next prime is 760423. The reversal of 760416 is 614067.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 760416.

It is not an unprimeable number, because it can be changed into a prime (760411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8500 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (56077).

2⁷⁶⁰⁴¹⁶ 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 760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009386).

760416 is an abundant number, since it is smaller than the sum of its proper divisors (1258356).

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

760416 is an equidigital number, since it uses as much as digits as its factorization.

760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 760416 is about 872.0183484308. The cubic root of 760416 is about 91.2747002627.

Multiplying 760416 by its sum of digits (24), we get a square (18249984 = 4272²).

760416 divided by its sum of digits (24) gives a square (31684 = 178²).

It can be divided in two parts, 760 and 416, that added together give a triangular number (1176 = T₄₈).

The spelling of 760416 in words is "seven hundred sixty thousand, four hundred sixteen".