761216 has 32 divisors (see below), whose sum is σ = 1601400. Its totient is φ = 359424.

The previous prime is 761213. The next prime is 761227. The reversal of 761216 is 612167.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a junction number, because it is equal to n+sod(n) for n = 761191 and 761200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2276 + ... + 2588.

2⁷⁶¹²¹⁶ is an apocalyptic number.

761216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800700).

761216 is an abundant number, since it is smaller than the sum of its proper divisors (840184).

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

761216 is a wasteful number, since it uses less digits than its factorization.

761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 761216 is about 872.4769337925. The cubic root of 761216 is about 91.3066977344.

It can be divided in two parts, 76 and 1216, that multiplied together give a square (92416 = 304²).

The spelling of 761216 in words is "seven hundred sixty-one thousand, two hundred sixteen".