780748960000 has 225 divisors, whose sum is σ = 1989772343251. Its totient is φ = 305654912000.

The previous prime is 780748959997. The next prime is 780748960003. The reversal of 780748960000 is 69847087.

The square root of 780748960000 is 883600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (780748959997) and next prime (780748960003).

It can be written as a sum of positive squares in 2 ways, for example, as 61210718464 + 719538241536 = 247408^2 + 848256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (780748960003) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 16611679977 + ... + 16611680023.

Almost surely, 2^780748960000 is an apocalyptic number.

780748960000 is the 883600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780748960000

780748960000 is an abundant number, since it is smaller than the sum of its proper divisors (1209023383251).

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

780748960000 is an frugal number, since it uses more digits than its factorization.

780748960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 780748960000 by its sum of digits (49), we get a square (38256699040000 = 6185200²).

The spelling of 780748960000 in words is "seven hundred eighty billion, seven hundred forty-eight million, nine hundred sixty thousand".