770638050 has 576 divisors, whose sum is σ = 2866316544. Its totient is φ = 149299200.

The previous prime is 770638031. The next prime is 770638051. The reversal of 770638050 is 50836077.

770638050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 770637996 and 770638014.

It is not an unprimeable number, because it can be changed into a prime (770638051) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18796030 + ... + 18796070.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^770638050 is an apocalyptic number.

770638050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 770638050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433158272).

770638050 is an abundant number, since it is smaller than the sum of its proper divisors (2095678494).

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

770638050 is a wasteful number, since it uses less digits than its factorization.

770638050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 770638050 is about 27760.3683332913. The cubic root of 770638050 is about 916.8187420787.

The spelling of 770638050 in words is "seven hundred seventy million, six hundred thirty-eight thousand, fifty".