77138700 has 72 divisors (see below), whose sum is σ = 224100240. Its totient is φ = 20486400.

The previous prime is 77138693. The next prime is 77138701. The reversal of 77138700 is 783177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77138701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116370 + ... + 117030.

Almost surely, 2^77138700 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 77138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112050120).

77138700 is an abundant number, since it is smaller than the sum of its proper divisors (146961540).

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

77138700 is a wasteful number, since it uses less digits than its factorization.

77138700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 77138700 is about 8782.8639975807. The cubic root of 77138700 is about 425.6873767098.

The spelling of 77138700 in words is "seventy-seven million, one hundred thirty-eight thousand, seven hundred".