780814516500 has 288 divisors, whose sum is σ = 2610315620640. Its totient is φ = 196132608000.

The previous prime is 780814516499. The next prime is 780814516553. The reversal of 780814516500 is 5615418087.

780814516500 is a `hidden beast` number, since 7 + 8 + 0 + 81 + 4 + 516 + 50 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 466322362884 + 314492153616 = 682878^2 + 560796^2 .

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5277534 + ... + 5423466.

It is an arithmetic number, because the mean of its divisors is an integer number (9063595905).

Almost surely, 2^780814516500 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 780814516500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305157810320).

780814516500 is an abundant number, since it is smaller than the sum of its proper divisors (1829501104140).

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

780814516500 is a wasteful number, since it uses less digits than its factorization.

780814516500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146028 (or 146013 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 780814516500 in words is "seven hundred eighty billion, eight hundred fourteen million, five hundred sixteen thousand, five hundred".