780082934400 has 1728 divisors, whose sum is σ = 3540055296960. Its totient is φ = 160092979200.

The previous prime is 780082934381. The next prime is 780082934441. The reversal of 780082934400 is 4439280087.

780082934400 is a `hidden beast` number, since 7 + 80 + 0 + 82 + 93 + 4 + 400 = 666.

It is a super-2 number, since 2×780082934400² (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 2756476659 + ... + 2756476941.

Almost surely, 2^780082934400 is an apocalyptic number.

780082934400 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 780082934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770027648480).

780082934400 is an abundant number, since it is smaller than the sum of its proper divisors (2759972362560).

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

780082934400 is a wasteful number, since it uses less digits than its factorization.

780082934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 780082934400 in words is "seven hundred eighty billion, eighty-two million, nine hundred thirty-four thousand, four hundred".