777090468 has 192 divisors, whose sum is σ = 2435844096. Its totient is φ = 186624000.

The previous prime is 777090449. The next prime is 777090473. The reversal of 777090468 is 864090777.

777090468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957783 + ... + 958593.

It is an arithmetic number, because the mean of its divisors is an integer number (12686688).

Almost surely, 2^777090468 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 777090468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217922048).

777090468 is an abundant number, since it is smaller than the sum of its proper divisors (1658753628).

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

777090468 is a wasteful number, since it uses less digits than its factorization.

777090468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 777090468 is about 27876.3424430107. The cubic root of 777090468 is about 919.3704214992.

The spelling of 777090468 in words is "seven hundred seventy-seven million, ninety thousand, four hundred sixty-eight".