77726616 has 64 divisors (see below), whose sum is σ = 213079680. Its totient is φ = 23431680.

The previous prime is 77726609. The next prime is 77726617. The reversal of 77726616 is 61662777.

It is a super-2 number, since 2×77726616² = 12082853669622912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77726617) 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, 59280 + ... + 60576.

It is an arithmetic number, because the mean of its divisors is an integer number (3329370).

Almost surely, 2^77726616 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 77726616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106539840).

77726616 is an abundant number, since it is smaller than the sum of its proper divisors (135353064).

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

77726616 is a wasteful number, since it uses less digits than its factorization.

77726616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 77726616 is about 8816.2699595691. The cubic root of 77726616 is about 426.7661058376.

The spelling of 77726616 in words is "seventy-seven million, seven hundred twenty-six thousand, six hundred sixteen".