780084900 has 405 divisors, whose sum is σ = 3010517601. Its totient is φ = 168920640.

The previous prime is 780084883. The next prime is 780084917. The reversal of 780084900 is 9480087.

The square root of 780084900 is 27930.

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

It is an interprime number because it is at equal distance from previous prime (780084883) and next prime (780084917).

It can be written as a sum of positive squares in only one way, i.e., 280830564 + 499254336 = 16758^2 + 22344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 41057091 + ... + 41057109.

Almost surely, 2^780084900 is an apocalyptic number.

780084900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

780084900 is the 27930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780084900

780084900 is an abundant number, since it is smaller than the sum of its proper divisors (2230432701).

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

780084900 is a wasteful number, since it uses less digits than its factorization.

780084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 780084900 is about 920.5498052634.

Multiplying 780084900 by its sum of digits (36), we get a square (28083056400 = 167580²).

780084900 divided by its sum of digits (36) gives a square (21669025 = 4655²).

The spelling of 780084900 in words is "seven hundred eighty million, eighty-four thousand, nine hundred".