78202858602960 has 800 divisors, whose sum is σ = 345072979249152. Its totient is φ = 15967683809280.

The previous prime is 78202858602923. The next prime is 78202858603003. The reversal of 78202858602960 is 6920685820287.

78202858602960 is a `hidden beast` number, since 7 + 8 + 2 + 0 + 28 + 586 + 0 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×78202858602960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 159 ways as a sum of consecutive naturals, for example, 16141062 + ... + 20419098.

Almost surely, 2^{78202858602960} is an apocalyptic number.

78202858602960 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 78202858602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172536489624576).

78202858602960 is an abundant number, since it is smaller than the sum of its proper divisors (266870120646192).

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

78202858602960 is a wasteful number, since it uses less digits than its factorization.

78202858602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278113 (or 4278098 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 78202858602960 in words is "seventy-eight trillion, two hundred two billion, eight hundred fifty-eight million, six hundred two thousand, nine hundred sixty".