77860872 has 64 divisors (see below), whose sum is σ = 219369600. Its totient is φ = 25583040.

The previous prime is 77860859. The next prime is 77860873. The reversal of 77860872 is 27806877.

It is not an unprimeable number, because it can be changed into a prime (77860873) 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, 12798 + ... + 17874.

It is an arithmetic number, because the mean of its divisors is an integer number (3427650).

Almost surely, 2^77860872 is an apocalyptic number.

77860872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77860872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109684800).

77860872 is an abundant number, since it is smaller than the sum of its proper divisors (141508728).

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

77860872 is a wasteful number, since it uses less digits than its factorization.

77860872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 77860872 is about 8823.8807788864. The cubic root of 77860872 is about 427.0116800312.

The spelling of 77860872 in words is "seventy-seven million, eight hundred sixty thousand, eight hundred seventy-two".