77002016 has 96 divisors (see below), whose sum is σ = 192826368. Its totient is φ = 29445120.

The previous prime is 77002007. The next prime is 77002019. The reversal of 77002016 is 61020077.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77001982 and 77002000.

It is not an unprimeable number, because it can be changed into a prime (77002019) 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, 89846 + ... + 90698.

It is an arithmetic number, because the mean of its divisors is an integer number (2008608).

Almost surely, 2^77002016 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 77002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96413184).

77002016 is an abundant number, since it is smaller than the sum of its proper divisors (115824352).

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

77002016 is a wasteful number, since it uses less digits than its factorization.

77002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 77002016 is about 8775.0792589013. The cubic root of 77002016 is about 425.4357993409.

The spelling of 77002016 in words is "seventy-seven million, two thousand, sixteen".