770055840 has 288 divisors, whose sum is σ = 2744960400. Its totient is φ = 196411392.

The previous prime is 770055829. The next prime is 770055899. The reversal of 770055840 is 48550077.

770055840 is a `hidden beast` number, since 7 + 70 + 0 + 5 + 584 + 0 = 666.

770055840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 318408336 + 451647504 = 17844^2 + 21252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 770055795 and 770055804.

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, 5168086 + ... + 5168234.

Almost surely, 2^770055840 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 770055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372480200).

770055840 is an abundant number, since it is smaller than the sum of its proper divisors (1974904560).

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

770055840 is a wasteful number, since it uses less digits than its factorization.

770055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 770055840 is about 27749.8799997405. The cubic root of 770055840 is about 916.5878011856.

The spelling of 770055840 in words is "seven hundred seventy million, fifty-five thousand, eight hundred forty".