78342573254400 has 3888 divisors, whose sum is σ = 375766030768128. Its totient is φ = 15989944320000.

The previous prime is 78342573254383. The next prime is 78342573254411. The reversal of 78342573254400 is 445237524387.

78342573254400 is a `hidden beast` number, since 7 + 8 + 3 + 4 + 2 + 573 + 25 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-3 number, since 3×78342573254400³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 30710533125 + ... + 30710535675.

Almost surely, 2^{78342573254400} is an apocalyptic number.

78342573254400 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 78342573254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187883015384064).

78342573254400 is an abundant number, since it is smaller than the sum of its proper divisors (297423457513728).

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

78342573254400 is a wasteful number, since it uses less digits than its factorization.

78342573254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 78342573254400 in words is "seventy-eight trillion, three hundred forty-two billion, five hundred seventy-three million, two hundred fifty-four thousand, four hundred".