772616 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 304128.

The previous prime is 772591. The next prime is 772619. The reversal of 772616 is 616277.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (772619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33581 + ... + 33603.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁷⁷²⁶¹⁶ is an apocalyptic number.

772616 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 772616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

772616 is an abundant number, since it is smaller than the sum of its proper divisors (1041784).

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

772616 is a wasteful number, since it uses less digits than its factorization.

772616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 772616 is about 878.9857791796. The cubic root of 772616 is about 91.7602453002.

The spelling of 772616 in words is "seven hundred seventy-two thousand, six hundred sixteen".