787416 has 64 divisors (see below), whose sum is σ = 2323200. Its totient is φ = 217728.

The previous prime is 787361. The next prime is 787427. The reversal of 787416 is 614787.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (9408) is a multiple of the sum of its prime factors (168).

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 787416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7170 + ... + 7278.

It is an arithmetic number, because the mean of its divisors is an integer number (36300).

2⁷⁸⁷⁴¹⁶ 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 787416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161600).

787416 is an abundant number, since it is smaller than the sum of its proper divisors (1535784).

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

787416 is a wasteful number, since it uses less digits than its factorization.

787416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 787416 is about 887.3646375645. The cubic root of 787416 is about 92.3424540016.

The spelling of 787416 in words is "seven hundred eighty-seven thousand, four hundred sixteen".