78256269000 has 1536 divisors, whose sum is σ = 353241907200. Its totient is φ = 15166310400.

The previous prime is 78256268977. The next prime is 78256269037. The reversal of 78256269000 is 96265287.

78256269000 is a `hidden beast` number, since 7 + 82 + 562 + 6 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×78256269000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 731366947 + ... + 731367053.

It is an arithmetic number, because the mean of its divisors is an integer number (229975200).

Almost surely, 2^78256269000 is an apocalyptic number.

78256269000 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 78256269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176620953600).

78256269000 is an abundant number, since it is smaller than the sum of its proper divisors (274985638200).

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

78256269000 is a wasteful number, since it uses less digits than its factorization.

78256269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78256269000 in words is "seventy-eight billion, two hundred fifty-six million, two hundred sixty-nine thousand".