77702016 has 128 divisors (see below), whose sum is σ = 238728960. Its totient is φ = 21934080.

The previous prime is 77701999. The next prime is 77702017. The reversal of 77702016 is 61020777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77702017) 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, 368151 + ... + 368361.

It is an arithmetic number, because the mean of its divisors is an integer number (1865070).

Almost surely, 2^77702016 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 77702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119364480).

77702016 is an abundant number, since it is smaller than the sum of its proper divisors (161026944).

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

77702016 is a wasteful number, since it uses less digits than its factorization.

77702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 77702016 is about 8814.8747013216. The cubic root of 77702016 is about 426.7210781302.

The spelling of 77702016 in words is "seventy-seven million, seven hundred two thousand, sixteen".