78526488398400 has 672 divisors, whose sum is σ = 344370712832000. Its totient is φ = 17004230830080.

The previous prime is 78526488398363. The next prime is 78526488398431. The reversal of 78526488398400 is 489388462587.

78526488398400 is a `hidden beast` number, since 7 + 8 + 52 + 6 + 4 + 8 + 83 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088020 + ... + 12579219.

Almost surely, 2^{78526488398400} is an apocalyptic number.

78526488398400 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 78526488398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172185356416000).

78526488398400 is an abundant number, since it is smaller than the sum of its proper divisors (265844224433600).

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

78526488398400 is a wasteful number, since it uses less digits than its factorization.

78526488398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13667296 (or 13667275 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 78526488398400 in words is "seventy-eight trillion, five hundred twenty-six billion, four hundred eighty-eight million, three hundred ninety-eight thousand, four hundred".