770128128 has 288 divisors, whose sum is σ = 2841323520. Its totient is φ = 199895040.

The previous prime is 770128087. The next prime is 770128141. The reversal of 770128128 is 821821077.

It is a happy number.

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 = 770128092 and 770128101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531501 + ... + 532947.

Almost surely, 2^770128128 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 770128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420661760).

770128128 is an abundant number, since it is smaller than the sum of its proper divisors (2071195392).

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

770128128 is a wasteful number, since it uses less digits than its factorization.

770128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 770128128 is about 27751.1824612934. The cubic root of 770128128 is about 916.6164814546.

The spelling of 770128128 in words is "seven hundred seventy million, one hundred twenty-eight thousand, one hundred twenty-eight".