770967360 has 336 divisors, whose sum is σ = 2818692864. Its totient is φ = 193019904.

The previous prime is 770967359. The next prime is 770967397. The reversal of 770967360 is 63769077.

It is a super-3 number, since 3×770967360³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6822664 + ... + 6822776.

Almost surely, 2^770967360 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 770967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409346432).

770967360 is an abundant number, since it is smaller than the sum of its proper divisors (2047725504).

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

770967360 is a wasteful number, since it uses less digits than its factorization.

770967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 770967360 is about 27766.2989971656. The cubic root of 770967360 is about 916.9493155193.

The spelling of 770967360 in words is "seven hundred seventy million, nine hundred sixty-seven thousand, three hundred sixty".