770333328 has 120 divisors (see below), whose sum is σ = 2247772800. Its totient is φ = 255394944.

The previous prime is 770333309. The next prime is 770333341. The reversal of 770333328 is 823333077.

770333328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 770333292 and 770333301.

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, 928818 + ... + 929646.

It is an arithmetic number, because the mean of its divisors is an integer number (18731440).

Almost surely, 2^770333328 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 770333328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123886400).

770333328 is an abundant number, since it is smaller than the sum of its proper divisors (1477439472).

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

770333328 is a wasteful number, since it uses less digits than its factorization.

770333328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 770333328 is about 27754.8793548089. The cubic root of 770333328 is about 916.6978847917.

It can be divided in two parts, 770333 and 328, that added together give a triangular number (770661 = T₁₂₄₁).

The spelling of 770333328 in words is "seven hundred seventy million, three hundred thirty-three thousand, three hundred twenty-eight".