77285616 has 80 divisors (see below), whose sum is σ = 212903040. Its totient is φ = 24088320.

The previous prime is 77285603. The next prime is 77285629. The reversal of 77285616 is 61658277.

It is an interprime number because it is at equal distance from previous prime (77285603) and next prime (77285629).

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, 75186 + ... + 76206.

It is an arithmetic number, because the mean of its divisors is an integer number (2661288).

Almost surely, 2^77285616 is an apocalyptic number.

77285616 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 77285616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

77285616 is an abundant number, since it is smaller than the sum of its proper divisors (135617424).

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

77285616 is a wasteful number, since it uses less digits than its factorization.

77285616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 77285616 is about 8791.2238055916. The cubic root of 77285616 is about 425.9574556909.

The spelling of 77285616 in words is "seventy-seven million, two hundred eighty-five thousand, six hundred sixteen".