78764062003200 has 3276 divisors, whose sum is σ = 347207093186508. Its totient is φ = 17657914982400.

The previous prime is 78764062003177. The next prime is 78764062003219. The reversal of 78764062003200 is 230026046787.

78764062003200 is a `hidden beast` number, since 7 + 8 + 7 + 6 + 406 + 200 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17516032966656 + 61248029036544 = 4185216^2 + 7826112^2 .

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

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 223127654224 + ... + 223127654576.

Almost surely, 2^{78764062003200} is an apocalyptic number.

78764062003200 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 78764062003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173603546593254).

78764062003200 is an abundant number, since it is smaller than the sum of its proper divisors (268443031183308).

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

78764062003200 is an equidigital number, since it uses as much as digits as its factorization.

78764062003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

Adding to 78764062003200 its reverse (230026046787), we get a palindrome (78994088049987).

The spelling of 78764062003200 in words is "seventy-eight trillion, seven hundred sixty-four billion, sixty-two million, three thousand, two hundred".