77615616 has 160 divisors (see below), whose sum is σ = 233735040. Its totient is φ = 22843392.

The previous prime is 77615609. The next prime is 77615641. The reversal of 77615616 is 61651677.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3374581 + ... + 3374603.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 2^77615616 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 77615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116867520).

77615616 is an abundant number, since it is smaller than the sum of its proper divisors (156119424).

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

77615616 is an equidigital number, since it uses as much as digits as its factorization.

77615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 77615616 is about 8809.9725311717. The cubic root of 77615616 is about 426.5628566890.

The spelling of 77615616 in words is "seventy-seven million, six hundred fifteen thousand, six hundred sixteen".