786790400 has 216 divisors, whose sum is σ = 2161111680. Its totient is φ = 283852800.

The previous prime is 786790397. The next prime is 786790409. The reversal of 786790400 is 4097687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786790409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6195137 + ... + 6195263.

Almost surely, 2^786790400 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 786790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

786790400 is an abundant number, since it is smaller than the sum of its proper divisors (1374321280).

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

786790400 is a wasteful number, since it uses less digits than its factorization.

786790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 786790400 is about 28049.7843128962. The cubic root of 786790400 is about 923.1799224098.

The spelling of 786790400 in words is "seven hundred eighty-six million, seven hundred ninety thousand, four hundred".