787920272640 has 576 divisors, whose sum is σ = 2864124748800. Its totient is φ = 205022232576.

The previous prime is 787920272603. The next prime is 787920272677. The reversal of 787920272640 is 46272029787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (787920272603) and next prime (787920272677).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 826778404 + ... + 826779356.

It is an arithmetic number, because the mean of its divisors is an integer number (4972438800).

Almost surely, 2^787920272640 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 787920272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432062374400).

787920272640 is an abundant number, since it is smaller than the sum of its proper divisors (2076204476160).

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

787920272640 is a wasteful number, since it uses less digits than its factorization.

787920272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 787920272640 in words is "seven hundred eighty-seven billion, nine hundred twenty million, two hundred seventy-two thousand, six hundred forty".