78753497440320 has 168 divisors, whose sum is σ = 286813289017944. Its totient is φ = 19765583659008.

The previous prime is 78753497440291. The next prime is 78753497440349. The reversal of 78753497440320 is 2304479435787.

78753497440320 is a `hidden beast` number, since 7 + 8 + 7 + 534 + 9 + 74 + 4 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (78753497440291) and next prime (78753497440349).

It can be written as a sum of positive squares in 4 ways, for example, as 16570305400896 + 62183192039424 = 4070664^2 + 7885632^2 .

It is a super-2 number, since 2×78753497440320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804214699 + ... + 804312618.

Almost surely, 2^{78753497440320} is an apocalyptic number.

It is an amenable number.

78753497440320 is an abundant number, since it is smaller than the sum of its proper divisors (208059791577624).

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

78753497440320 is a wasteful number, since it uses less digits than its factorization.

78753497440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608527357 (or 1608527344 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 78753497440320 in words is "seventy-eight trillion, seven hundred fifty-three billion, four hundred ninety-seven million, four hundred forty thousand, three hundred twenty".