787958496 has 288 divisors, whose sum is σ = 2592444960. Its totient is φ = 231413760.

The previous prime is 787958489. The next prime is 787958503. The reversal of 787958496 is 694859787.

787958496 is a `hidden beast` number, since 78 + 79 + 5 + 8 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (787958489) and next prime (787958503).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10793916 + ... + 10793988.

It is an arithmetic number, because the mean of its divisors is an integer number (9001545).

Almost surely, 2^787958496 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 787958496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296222480).

787958496 is an abundant number, since it is smaller than the sum of its proper divisors (1804486464).

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

787958496 is a wasteful number, since it uses less digits than its factorization.

787958496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 122 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 787958496 is about 28070.5984261113. The cubic root of 787958496 is about 923.6365580255.

The spelling of 787958496 in words is "seven hundred eighty-seven million, nine hundred fifty-eight thousand, four hundred ninety-six".