771128064 has 216 divisors, whose sum is σ = 2566855200. Its totient is φ = 218087424.

The previous prime is 771128047. The next prime is 771128101. The reversal of 771128064 is 460821177.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209362 + ... + 2209710.

Almost surely, 2^771128064 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 771128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283427600).

771128064 is an abundant number, since it is smaller than the sum of its proper divisors (1795727136).

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

771128064 is a wasteful number, since it uses less digits than its factorization.

771128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 771128064 is about 27769.1927142292. The cubic root of 771128064 is about 917.0130221442.

The spelling of 771128064 in words is "seven hundred seventy-one million, one hundred twenty-eight thousand, sixty-four".