788990400 has 504 divisors, whose sum is σ = 3250198224. Its totient is φ = 179404800.

The previous prime is 788990387. The next prime is 788990407. The reversal of 788990400 is 4099887.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788990407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692654 + ... + 2692946.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^788990400 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 788990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625099112).

788990400 is an abundant number, since it is smaller than the sum of its proper divisors (2461207824).

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

788990400 is a wasteful number, since it uses less digits than its factorization.

788990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

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

The square root of 788990400 is about 28088.9729253314. The cubic root of 788990400 is about 924.0395777729.

It can be divided in two parts, 7889 and 90400, that added together give a palindrome (98289).

The spelling of 788990400 in words is "seven hundred eighty-eight million, nine hundred ninety thousand, four hundred".