77496016 has 80 divisors (see below), whose sum is σ = 171489024. Its totient is φ = 33656832.

The previous prime is 77496011. The next prime is 77496031. The reversal of 77496016 is 61069477.

It is a self number, because there is not a number n which added to its sum of digits gives 77496016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77496011) 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, 463965 + ... + 464131.

Almost surely, 2^77496016 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 77496016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85744512).

77496016 is an abundant number, since it is smaller than the sum of its proper divisors (93993008).

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

77496016 is a wasteful number, since it uses less digits than its factorization.

77496016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 77496016 is about 8803.1821519267. The cubic root of 77496016 is about 426.3436433091.

The spelling of 77496016 in words is "seventy-seven million, four hundred ninety-six thousand, sixteen".