77038016 has 112 divisors (see below), whose sum is σ = 182038752. Its totient is φ = 31948800.

The previous prime is 77037997. The next prime is 77038019. The reversal of 77038016 is 61083077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77038019) 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, 490610 + ... + 490766.

It is an arithmetic number, because the mean of its divisors is an integer number (1625346).

Almost surely, 2^77038016 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 77038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91019376).

77038016 is an abundant number, since it is smaller than the sum of its proper divisors (105000736).

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

77038016 is a wasteful number, since it uses less digits than its factorization.

77038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 77038016 is about 8777.1302827291. The cubic root of 77038016 is about 425.5020889586.

The spelling of 77038016 in words is "seventy-seven million, thirty-eight thousand, sixteen".