78698547200 has 864 divisors, whose sum is σ = 259333401600. Its totient is φ = 23410114560.

The previous prime is 78698547173. The next prime is 78698547209. The reversal of 78698547200 is 274589687.

It is a super-2 number, since 2×78698547200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (78698547209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619673537 + ... + 619673663.

It is an arithmetic number, because the mean of its divisors is an integer number (300154400).

Almost surely, 2^78698547200 is an apocalyptic number.

78698547200 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 78698547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129666700800).

78698547200 is an abundant number, since it is smaller than the sum of its proper divisors (180634854400).

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

78698547200 is a wasteful number, since it uses less digits than its factorization.

78698547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 78698547200 in words is "seventy-eight billion, six hundred ninety-eight million, five hundred forty-seven thousand, two hundred".