777240960 has 128 divisors (see below), whose sum is σ = 2486972160. Its totient is φ = 206469120.

The previous prime is 777240931. The next prime is 777240973. The reversal of 777240960 is 69042777.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634909 + ... + 636131.

It is an arithmetic number, because the mean of its divisors is an integer number (19429470).

Almost surely, 2^777240960 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 777240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243486080).

777240960 is an abundant number, since it is smaller than the sum of its proper divisors (1709731200).

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

777240960 is a wasteful number, since it uses less digits than its factorization.

777240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 777240960 is about 27879.0415904134. The cubic root of 777240960 is about 919.4297663540.

The spelling of 777240960 in words is "seven hundred seventy-seven million, two hundred forty thousand, nine hundred sixty".