780973764480 has 2048 divisors, whose sum is σ = 3617368473600. Its totient is φ = 154793410560.

The previous prime is 780973764469. The next prime is 780973764497. The reversal of 780973764480 is 84467379087.

780973764480 is a `hidden beast` number, since 7 + 8 + 0 + 97 + 3 + 7 + 64 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1803634344 + ... + 1803634776.

It is an arithmetic number, because the mean of its divisors is an integer number (1766293200).

Almost surely, 2^780973764480 is an apocalyptic number.

780973764480 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 780973764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808684236800).

780973764480 is an abundant number, since it is smaller than the sum of its proper divisors (2836394709120).

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

780973764480 is a wasteful number, since it uses less digits than its factorization.

780973764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 780973764480 in words is "seven hundred eighty billion, nine hundred seventy-three million, seven hundred sixty-four thousand, four hundred eighty".