787998256920 has 1152 divisors, whose sum is σ = 3152975155200. Its totient is φ = 170014021632.

The previous prime is 787998256907. The next prime is 787998257017. The reversal of 787998256920 is 29652899787.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3471357847 + ... + 3471358073.

It is an arithmetic number, because the mean of its divisors is an integer number (2736957600).

Almost surely, 2^787998256920 is an apocalyptic number.

787998256920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787998256920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576487577600).

787998256920 is an abundant number, since it is smaller than the sum of its proper divisors (2364976898280).

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

787998256920 is a wasteful number, since it uses less digits than its factorization.

787998256920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 787998256920 in words is "seven hundred eighty-seven billion, nine hundred ninety-eight million, two hundred fifty-six thousand, nine hundred twenty".