777978240 has 256 divisors, whose sum is σ = 2714342400. Its totient is φ = 188375040.

The previous prime is 777978233. The next prime is 777978247. The reversal of 777978240 is 42879777.

It is an interprime number because it is at equal distance from previous prime (777978233) and next prime (777978247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777978247) 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, 1771941 + ... + 1772379.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^777978240 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 777978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

777978240 is an abundant number, since it is smaller than the sum of its proper divisors (1936364160).

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

777978240 is a wasteful number, since it uses less digits than its factorization.

777978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 51.

The square root of 777978240 is about 27892.2612923370. The cubic root of 777978240 is about 919.7203939218.

The spelling of 777978240 in words is "seven hundred seventy-seven million, nine hundred seventy-eight thousand, two hundred forty".