78152366700 has 288 divisors, whose sum is σ = 257741003520. Its totient is φ = 20304345600.

The previous prime is 78152366587. The next prime is 78152366741. The reversal of 78152366700 is 766325187.

78152366700 is a `hidden beast` number, since 78 + 152 + 366 + 70 + 0 = 666.

It is a super-2 number, since 2×78152366700² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71633155 + ... + 71634245.

It is an arithmetic number, because the mean of its divisors is an integer number (894934040).

Almost surely, 2^78152366700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78152366700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128870501760).

78152366700 is an abundant number, since it is smaller than the sum of its proper divisors (179588636820).

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

78152366700 is a wasteful number, since it uses less digits than its factorization.

78152366700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 78152366700 in words is "seventy-eight billion, one hundred fifty-two million, three hundred sixty-six thousand, seven hundred".