788490906 has 64 divisors (see below), whose sum is σ = 1916151552. Its totient is φ = 211156992.

The previous prime is 788490893. The next prime is 788490919. The reversal of 788490906 is 609094887.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (788490893) and next prime (788490919).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181350 + ... + 185646.

It is an arithmetic number, because the mean of its divisors is an integer number (29939868).

Almost surely, 2^788490906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788490906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958075776).

788490906 is an abundant number, since it is smaller than the sum of its proper divisors (1127660646).

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

788490906 is a wasteful number, since it uses less digits than its factorization.

788490906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583.

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 788490906 is about 28080.0802349281. The cubic root of 788490906 is about 923.8445396335.

It can be divided in two parts, 788490 and 906, that added together give a triangular number (789396 = T₁₂₅₆).

The spelling of 788490906 in words is "seven hundred eighty-eight million, four hundred ninety thousand, nine hundred six".