8778777408 has 336 divisors, whose sum is σ = 27337390080. Its totient is φ = 2790028800.

The previous prime is 8778777313. The next prime is 8778777431. The reversal of 8778777408 is 8047778778.

8778777408 is a `hidden beast` number, since 87 + 7 + 87 + 77 + 408 = 666.

It is a super-2 number, since 2×8778777408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63156603 + ... + 63156741.

It is an arithmetic number, because the mean of its divisors is an integer number (81361280).

Almost surely, 2^8778777408 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 8778777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668695040).

8778777408 is an abundant number, since it is smaller than the sum of its proper divisors (18558612672).

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

8778777408 is a wasteful number, since it uses less digits than its factorization.

8778777408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 34420736, while the sum is 63.

The square root of 8778777408 is about 93695.1301189128. The cubic root of 8778777408 is about 2062.8992237449.

The spelling of 8778777408 in words is "eight billion, seven hundred seventy-eight million, seven hundred seventy-seven thousand, four hundred eight".