78202652478720 has 2304 divisors, whose sum is σ = 337515326668800. Its totient is φ = 14935310991360.

The previous prime is 78202652478719. The next prime is 78202652478757. The reversal of 78202652478720 is 2787425620287.

It is a happy number.

It is a super-2 number, since 2×78202652478720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49526694891 + ... + 49526696469.

It is an arithmetic number, because the mean of its divisors is an integer number (146491027200).

Almost surely, 2^{78202652478720} is an apocalyptic number.

78202652478720 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 78202652478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168757663334400).

78202652478720 is an abundant number, since it is smaller than the sum of its proper divisors (259312674190080).

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

78202652478720 is a wasteful number, since it uses less digits than its factorization.

78202652478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 60.

The spelling of 78202652478720 in words is "seventy-eight trillion, two hundred two billion, six hundred fifty-two million, four hundred seventy-eight thousand, seven hundred twenty".