78027530400 has 216 divisors, whose sum is σ = 275946338304. Its totient is φ = 20746713600.

The previous prime is 78027530333. The next prime is 78027530419. The reversal of 78027530400 is 403572087.

78027530400 is a `hidden beast` number, since 7 + 80 + 2 + 7 + 530 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2482785 + ... + 2514015.

It is an arithmetic number, because the mean of its divisors is an integer number (1277529344).

Almost surely, 2^78027530400 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 78027530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137973169152).

78027530400 is an abundant number, since it is smaller than the sum of its proper divisors (197918807904).

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

78027530400 is a wasteful number, since it uses less digits than its factorization.

78027530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31604 (or 31588 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 78027530400 in words is "seventy-eight billion, twenty-seven million, five hundred thirty thousand, four hundred".