787350240 has 384 divisors, whose sum is σ = 2978519040. Its totient is φ = 193536000.

The previous prime is 787350209. The next prime is 787350259. The reversal of 787350240 is 42053787.

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

It is a junction number, because it is equal to n+sod(n) for n = 787350195 and 787350204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5214165 + ... + 5214315.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^787350240 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 787350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520).

787350240 is an abundant number, since it is smaller than the sum of its proper divisors (2191168800).

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

787350240 is a wasteful number, since it uses less digits than its factorization.

787350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 787350240 is about 28059.7619376929. The cubic root of 787350240 is about 923.3988331100.

The spelling of 787350240 in words is "seven hundred eighty-seven million, three hundred fifty thousand, two hundred forty".