787920000 has 480 divisors, whose sum is σ = 3087699120. Its totient is φ = 177408000.

The previous prime is 787919989. The next prime is 787920011. The reversal of 787920000 is 29787.

787920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (787919989) and next prime (787920011).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11759967 + ... + 11760033.

Almost surely, 2^787920000 is an apocalyptic number.

787920000 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 787920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543849560).

787920000 is an abundant number, since it is smaller than the sum of its proper divisors (2299779120).

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

787920000 is an equidigital number, since it uses as much as digits as its factorization.

787920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 787920000 is about 28069.9127180688. The cubic root of 787920000 is about 923.6215162468.

Adding to 787920000 its reverse (29787), we get a palindrome (787949787).

The spelling of 787920000 in words is "seven hundred eighty-seven million, nine hundred twenty thousand".