78400033941600 has 360 divisors, whose sum is σ = 326753921129328. Its totient is φ = 17920007654400.

The previous prime is 78400033941487. The next prime is 78400033941611. The reversal of 78400033941600 is 614933000487.

78400033941600 is a `hidden beast` number, since 7 + 8 + 4 + 0 + 0 + 0 + 3 + 39 + 4 + 1 + 600 = 666.

78400033941600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×78400033941600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85966191 + ... + 86873390.

Almost surely, 2^{78400033941600} is an apocalyptic number.

78400033941600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78400033941600 is an abundant number, since it is smaller than the sum of its proper divisors (248353887187728).

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

78400033941600 is a wasteful number, since it uses less digits than its factorization.

78400033941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172839620 (or 172839598 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 78400033941600 in words is "seventy-eight trillion, four hundred billion, thirty-three million, nine hundred forty-one thousand, six hundred".