770166144 has 192 divisors, whose sum is σ = 2508367680. Its totient is φ = 233280000.

The previous prime is 770166127. The next prime is 770166149. The reversal of 770166144 is 441661077.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 770166099 and 770166108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770166149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341019 + ... + 343269.

It is an arithmetic number, because the mean of its divisors is an integer number (13064415).

Almost surely, 2^770166144 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 770166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254183840).

770166144 is an abundant number, since it is smaller than the sum of its proper divisors (1738201536).

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

770166144 is a wasteful number, since it uses less digits than its factorization.

770166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 770166144 is about 27751.8673966276. The cubic root of 770166144 is about 916.6315635851.

The spelling of 770166144 in words is "seven hundred seventy million, one hundred sixty-six thousand, one hundred forty-four".