78258840778800 has 960 divisors, whose sum is σ = 315594520657920. Its totient is φ = 18247068288000.

The previous prime is 78258840778787. The next prime is 78258840778841. The reversal of 78258840778800 is 887704885287.

78258840778800 is a `hidden beast` number, since 78 + 2 + 5 + 8 + 8 + 407 + 78 + 80 + 0 = 666.

It is a super-2 number, since 2×78258840778800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600231217 + ... + 600361583.

It is an arithmetic number, because the mean of its divisors is an integer number (328744292352).

Almost surely, 2^{78258840778800} 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 78258840778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157797260328960).

78258840778800 is an abundant number, since it is smaller than the sum of its proper divisors (237335679879120).

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

78258840778800 is a wasteful number, since it uses less digits than its factorization.

78258840778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130599 (or 130582 counting only the distinct ones).

The product of its (nonzero) digits is 449576960, while the sum is 72.

The spelling of 78258840778800 in words is "seventy-eight trillion, two hundred fifty-eight billion, eight hundred forty million, seven hundred seventy-eight thousand, eight hundred".