78764309872640 has 1152 divisors, whose sum is σ = 231927349248000. Its totient is φ = 25636676567040.

The previous prime is 78764309872637. The next prime is 78764309872649. The reversal of 78764309872640 is 4627890346787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78764309872649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620191416257 + ... + 620191416383.

It is an arithmetic number, because the mean of its divisors is an integer number (201325824000).

Almost surely, 2^{78764309872640} is an apocalyptic number.

78764309872640 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 78764309872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115963674624000).

78764309872640 is an abundant number, since it is smaller than the sum of its proper divisors (153163039375360).

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

78764309872640 is an frugal number, since it uses more digits than its factorization.

78764309872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 71.

The spelling of 78764309872640 in words is "seventy-eight trillion, seven hundred sixty-four billion, three hundred nine million, eight hundred seventy-two thousand, six hundred forty".