78377601600 has 189 divisors, whose sum is σ = 278691958363. Its totient is φ = 20891735040.

The previous prime is 78377601571. The next prime is 78377601623. The reversal of 78377601600 is 610677387.

It is a happy number.

The square root of 78377601600 is 279960.

It is a perfect power (a square), and thus also a powerful number.

78377601600 is a `hidden beast` number, since 7 + 8 + 37 + 7 + 6 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6947555904 + 71430045696 = 83352^2 + 267264^2 .

It is a super-3 number, since 3×78377601600³ (a number of 34 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 (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33594034 + ... + 33596366.

Almost surely, 2^78377601600 is an apocalyptic number.

78377601600 is the 279960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78377601600

78377601600 is an abundant number, since it is smaller than the sum of its proper divisors (200314356763).

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

78377601600 is an equidigital number, since it uses as much as digits as its factorization.

78377601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 78377601600 in words is "seventy-eight billion, three hundred seventy-seven million, six hundred one thousand, six hundred".