762216 has 64 divisors (see below), whose sum is σ = 2352000. Its totient is φ = 200448.

The previous prime is 762211. The next prime is 762227. The reversal of 762216 is 612267.

It is a happy number.

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

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

It is an Ulam number.

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 762216.

It is not an unprimeable number, because it can be changed into a prime (762211) by changing a digit.

762216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2⁷⁶²²¹⁶ 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 762216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176000).

762216 is an abundant number, since it is smaller than the sum of its proper divisors (1589784).

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

762216 is a wasteful number, since it uses less digits than its factorization.

762216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

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

The square root of 762216 is about 873.0498267568. The cubic root of 762216 is about 91.3466630636.

The spelling of 762216 in words is "seven hundred sixty-two thousand, two hundred sixteen".