78817651200 has 720 divisors, whose sum is σ = 297783547776. Its totient is φ = 19869696000.

The previous prime is 78817651163. The next prime is 78817651301. The reversal of 78817651200 is 215671887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×78817651200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400089502 + ... + 400089698.

Almost surely, 2^78817651200 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 78817651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148891773888).

78817651200 is an abundant number, since it is smaller than the sum of its proper divisors (218965896576).

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

78817651200 is a wasteful number, since it uses less digits than its factorization.

78817651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 78817651200 in words is "seventy-eight billion, eight hundred seventeen million, six hundred fifty-one thousand, two hundred".