77872080 has 160 divisors (see below), whose sum is σ = 283731840. Its totient is φ = 17418240.

The previous prime is 77872027. The next prime is 77872103. The reversal of 77872080 is 8027877.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33186 + ... + 35454.

It is an arithmetic number, because the mean of its divisors is an integer number (1773324).

Almost surely, 2^77872080 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 77872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141865920).

77872080 is an abundant number, since it is smaller than the sum of its proper divisors (205859760).

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

77872080 is a wasteful number, since it uses less digits than its factorization.

77872080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The square root of 77872080 is about 8824.5158507422. The cubic root of 77872080 is about 427.0321683594.

The spelling of 77872080 in words is "seventy-seven million, eight hundred seventy-two thousand, eighty".