788961600 has 336 divisors, whose sum is σ = 3288182400. Its totient is φ = 180264960.

The previous prime is 788961587. The next prime is 788961659. The reversal of 788961600 is 6169887.

It is a happy number.

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 (45).

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, 301096 + ... + 303704.

Almost surely, 2^788961600 is an apocalyptic number.

788961600 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 788961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644091200).

788961600 is an abundant number, since it is smaller than the sum of its proper divisors (2499220800).

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

788961600 is a wasteful number, since it uses less digits than its factorization.

788961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 788961600 is about 28088.4602639589. The cubic root of 788961600 is about 924.0283344322.

The spelling of 788961600 in words is "seven hundred eighty-eight million, nine hundred sixty-one thousand, six hundred".