78460800000 has 528 divisors, whose sum is σ = 285538224384. Its totient is φ = 18995200000.

The previous prime is 78460799999. The next prime is 78460800001. The reversal of 78460800000 is 806487.

It is an interprime number because it is at equal distance from previous prime (78460799999) and next prime (78460800001).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (78460800001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105599629 + ... + 105600371.

Almost surely, 2^78460800000 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 78460800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142769112192).

78460800000 is an abundant number, since it is smaller than the sum of its proper divisors (207077424384).

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

78460800000 is an equidigital number, since it uses as much as digits as its factorization.

78460800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 78460800000 in words is "seventy-eight billion, four hundred sixty million, eight hundred thousand".