77878880 has 48 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 30853632.

The previous prime is 77878877. The next prime is 77878901. The reversal of 77878880 is 8887877.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14846 + ... + 19394.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^77878880 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 77878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92874600).

77878880 is an abundant number, since it is smaller than the sum of its proper divisors (107870320).

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

77878880 is a wasteful number, since it uses less digits than its factorization.

77878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 53.

The square root of 77878880 is about 8824.9011325907. The cubic root of 77878880 is about 427.0445978644.

The spelling of 77878880 in words is "seventy-seven million, eight hundred seventy-eight thousand, eight hundred eighty".