780135831552 has 768 divisors, whose sum is σ = 2748695040000. Its totient is φ = 190625218560.

The previous prime is 780135831509. The next prime is 780135831581. The reversal of 780135831552 is 255138531087.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×780135831552² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2058405699 + ... + 2058406077.

It is an arithmetic number, because the mean of its divisors is an integer number (3579030000).

Almost surely, 2^780135831552 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 780135831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374347520000).

780135831552 is an abundant number, since it is smaller than the sum of its proper divisors (1968559208448).

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

780135831552 is a wasteful number, since it uses less digits than its factorization.

780135831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 780135831552 in words is "seven hundred eighty billion, one hundred thirty-five million, eight hundred thirty-one thousand, five hundred fifty-two".