78307798464000 has 4800 divisors, whose sum is σ = 355774492225152. Its totient is φ = 17055940608000.

The previous prime is 78307798463987. The next prime is 78307798464013. The reversal of 78307798464000 is 46489770387.

78307798464000 is a `hidden beast` number, since 7 + 8 + 30 + 77 + 98 + 46 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78307798463987) and next prime (78307798464013).

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×78307798464000² (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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 760269887949 + ... + 760269888051.

Almost surely, 2^{78307798464000} is an apocalyptic number.

78307798464000 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 78307798464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177887246112576).

78307798464000 is an abundant number, since it is smaller than the sum of its proper divisors (277466693761152).

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

78307798464000 is a wasteful number, since it uses less digits than its factorization.

78307798464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 78307798464000 in words is "seventy-eight trillion, three hundred seven billion, seven hundred ninety-eight million, four hundred sixty-four thousand".