788121360 has 480 divisors, whose sum is σ = 3136942080. Its totient is φ = 181149696.

The previous prime is 788121337. The next prime is 788121409. The reversal of 788121360 is 63121887.

It is a super-2 number, since 2×788121360² = 1242270556176499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6205617 + ... + 6205743.

It is an arithmetic number, because the mean of its divisors is an integer number (6535296).

Almost surely, 2^788121360 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 788121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568471040).

788121360 is an abundant number, since it is smaller than the sum of its proper divisors (2348820720).

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

788121360 is a wasteful number, since it uses less digits than its factorization.

788121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 788121360 is about 28073.4992475110. The cubic root of 788121360 is about 923.7001894572.

It can be divided in two parts, 7881 and 21360, that added together give a square (29241 = 171²).

The spelling of 788121360 in words is "seven hundred eighty-eight million, one hundred twenty-one thousand, three hundred sixty".