761616 has 80 divisors (see below), whose sum is σ = 2291520. Its totient is φ = 241920.

The previous prime is 761611. The next prime is 761623. The reversal of 761616 is 616167.

761616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 761616.

It is not an unprimeable number, because it can be changed into a prime (761611) by changing a digit.

761616 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, 17691 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁷⁶¹⁶¹⁶ 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 761616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760).

761616 is an abundant number, since it is smaller than the sum of its proper divisors (1529904).

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

761616 is a wasteful number, since it uses less digits than its factorization.

761616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 761616 is about 872.7061361077. The cubic root of 761616 is about 91.3226880638.

It can be divided in two parts, 76161 and 6, that added together give a palindrome (76167).

The spelling of 761616 in words is "seven hundred sixty-one thousand, six hundred sixteen".