787660416 has 192 divisors, whose sum is σ = 2416502400. Its totient is φ = 252564480.

The previous prime is 787660411. The next prime is 787660421. The reversal of 787660416 is 614066787.

It is an interprime number because it is at equal distance from previous prime (787660411) and next prime (787660421).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (787660411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906361 + ... + 2906631.

It is an arithmetic number, because the mean of its divisors is an integer number (12585950).

Almost surely, 2^787660416 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 787660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208251200).

787660416 is an abundant number, since it is smaller than the sum of its proper divisors (1628841984).

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

787660416 is a wasteful number, since it uses less digits than its factorization.

787660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 787660416 is about 28065.2884538891. The cubic root of 787660416 is about 923.5200746020.

The spelling of 787660416 in words is "seven hundred eighty-seven million, six hundred sixty thousand, four hundred sixteen".