78995865600 has 450 divisors, whose sum is σ = 292769278494. Its totient is φ = 21056716800.

The previous prime is 78995865593. The next prime is 78995865617. The reversal of 78995865600 is 656859987.

It can be written as a sum of positive squares in 3 ways, for example, as 1275346944 + 77720518656 = 35712^2 + 278784^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33176410 + ... + 33178790.

Almost surely, 2^78995865600 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 78995865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146384639247).

78995865600 is an abundant number, since it is smaller than the sum of its proper divisors (213773412894).

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

78995865600 is an equidigital number, since it uses as much as digits as its factorization.

78995865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

It can be divided in two parts, 789958 and 65600, that added together give a palindrome (855558).

The spelling of 78995865600 in words is "seventy-eight billion, nine hundred ninety-five million, eight hundred sixty-five thousand, six hundred".