788004672 has 336 divisors, whose sum is σ = 2772826560. Its totient is φ = 195084288.

The previous prime is 788004667. The next prime is 788004797. The reversal of 788004672 is 276400887.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078979 + ... + 2079357.

It is an arithmetic number, because the mean of its divisors is an integer number (8252460).

Almost surely, 2^788004672 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 788004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386413280).

788004672 is an abundant number, since it is smaller than the sum of its proper divisors (1984821888).

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

788004672 is a wasteful number, since it uses less digits than its factorization.

788004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 788004672 is about 28071.4209116674. The cubic root of 788004672 is about 923.6546000116.

The spelling of 788004672 in words is "seven hundred eighty-eight million, four thousand, six hundred seventy-two".