77880096 has 192 divisors, whose sum is σ = 264499200. Its totient is φ = 21835008.

The previous prime is 77880071. The next prime is 77880097. The reversal of 77880096 is 69008877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77880097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477711 + ... + 477873.

It is an arithmetic number, because the mean of its divisors is an integer number (1377600).

Almost surely, 2^77880096 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 77880096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132249600).

77880096 is an abundant number, since it is smaller than the sum of its proper divisors (186619104).

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

77880096 is a wasteful number, since it uses less digits than its factorization.

77880096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 77880096 is about 8824.9700282777. The cubic root of 77880096 is about 427.0468204761.

The spelling of 77880096 in words is "seventy-seven million, eight hundred eighty thousand, ninety-six".