770480640 has 320 divisors, whose sum is σ = 2793035520. Its totient is φ = 201277440.

The previous prime is 770480591. The next prime is 770480653. The reversal of 770480640 is 46084077.

It is a happy number.

770480640 is a `hidden beast` number, since 7 + 7 + 0 + 4 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×770480640² = 1187280833229619200, which contains 22 as substring.

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 = 770480595 and 770480604.

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 31 ways as a sum of consecutive naturals, for example, 4907442 + ... + 4907598.

It is an arithmetic number, because the mean of its divisors is an integer number (8728236).

Almost surely, 2^770480640 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 770480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396517760).

770480640 is an abundant number, since it is smaller than the sum of its proper divisors (2022554880).

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

770480640 is a wasteful number, since it uses less digits than its factorization.

770480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 770480640 is about 27757.5330315934. The cubic root of 770480640 is about 916.7563149054.

The spelling of 770480640 in words is "seven hundred seventy million, four hundred eighty thousand, six hundred forty".