78755792640 has 288 divisors, whose sum is σ = 296734642176. Its totient is φ = 17420451840.

The previous prime is 78755792639. The next prime is 78755792641. The reversal of 78755792640 is 4629755787.

It is an interprime number because it is at equal distance from previous prime (78755792639) and next prime (78755792641).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78755792641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786024 + ... + 880536.

Almost surely, 2^78755792640 is an apocalyptic number.

78755792640 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 78755792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148367321088).

78755792640 is an abundant number, since it is smaller than the sum of its proper divisors (217978849536).

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

78755792640 is a wasteful number, since it uses less digits than its factorization.

78755792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94575 (or 94561 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 78755792640 in words is "seventy-eight billion, seven hundred fifty-five million, seven hundred ninety-two thousand, six hundred forty".