770414976 has 384 divisors, whose sum is σ = 2566287360. Its totient is φ = 228925440.

The previous prime is 770414963. The next prime is 770414987. The reversal of 770414976 is 679414077.

770414976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16391785 + ... + 16391831.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^770414976 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 770414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

770414976 is an abundant number, since it is smaller than the sum of its proper divisors (1795872384).

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

770414976 is a wasteful number, since it uses less digits than its factorization.

770414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 770414976 is about 27756.3501923434. The cubic root of 770414976 is about 916.7302707308.

The spelling of 770414976 in words is "seven hundred seventy million, four hundred fourteen thousand, nine hundred seventy-six".