770612048640 has 864 divisors, whose sum is σ = 3200374195200. Its totient is φ = 167382319104.

The previous prime is 770612048639. The next prime is 770612048671. The reversal of 770612048640 is 46840216077.

770612048640 is a `hidden beast` number, since 7 + 7 + 0 + 6 + 120 + 486 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302318086 + ... + 302320634.

It is an arithmetic number, because the mean of its divisors is an integer number (3704136800).

Almost surely, 2^770612048640 is an apocalyptic number.

770612048640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770612048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600187097600).

770612048640 is an abundant number, since it is smaller than the sum of its proper divisors (2429762146560).

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

770612048640 is a wasteful number, since it uses less digits than its factorization.

770612048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 770612048640 in words is "seven hundred seventy billion, six hundred twelve million, forty-eight thousand, six hundred forty".