786994790400 has 3072 divisors, whose sum is σ = 3931848345600. Its totient is φ = 149484994560.

The previous prime is 786994790399. The next prime is 786994790411. The reversal of 786994790400 is 4097499687.

786994790400 is a `hidden beast` number, since 78 + 6 + 9 + 94 + 79 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 191 ways as a sum of consecutive naturals, for example, 34217164789 + ... + 34217164811.

It is an arithmetic number, because the mean of its divisors is an integer number (1279898550).

Almost surely, 2^786994790400 is an apocalyptic number.

786994790400 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 786994790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965924172800).

786994790400 is an abundant number, since it is smaller than the sum of its proper divisors (3144853555200).

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

786994790400 is a wasteful number, since it uses less digits than its factorization.

786994790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 786994790400 in words is "seven hundred eighty-six billion, nine hundred ninety-four million, seven hundred ninety thousand, four hundred".