78757408512 has 288 divisors, whose sum is σ = 247418841600. Its totient is φ = 24626184192.

The previous prime is 78757408507. The next prime is 78757408517. The reversal of 78757408512 is 21580475787.

78757408512 is a `hidden beast` number, since 7 + 87 + 5 + 7 + 40 + 8 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (78757408507) and next prime (78757408517).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78757408517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42183003 + ... + 42184869.

It is an arithmetic number, because the mean of its divisors is an integer number (859093200).

Almost surely, 2^78757408512 is an apocalyptic number.

78757408512 is a gapful number since it is divisible by the number (72) 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 78757408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123709420800).

78757408512 is an abundant number, since it is smaller than the sum of its proper divisors (168661433088).

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

78757408512 is a wasteful number, since it uses less digits than its factorization.

78757408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 78757408512 in words is "seventy-eight billion, seven hundred fifty-seven million, four hundred eight thousand, five hundred twelve".