77128038 has 80 divisors (see below), whose sum is σ = 189904176. Its totient is φ = 23250240.

The previous prime is 77128027. The next prime is 77128043. The reversal of 77128038 is 83082177.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77127993 and 77128011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111273 + ... + 111963.

Almost surely, 2^77128038 is an apocalyptic number.

77128038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77128038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94952088).

77128038 is an abundant number, since it is smaller than the sum of its proper divisors (112776138).

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

77128038 is a wasteful number, since it uses less digits than its factorization.

77128038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77128038 is about 8782.2569992001. The cubic root of 77128038 is about 425.6677631741.

The spelling of 77128038 in words is "seventy-seven million, one hundred twenty-eight thousand, thirty-eight".