78009238755840 has 320 divisors, whose sum is σ = 294206278164480. Its totient is φ = 17255499448320.

The previous prime is 78009238755737. The next prime is 78009238755841. The reversal of 78009238755840 is 4855783290087.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78009238755840² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78009238755841) 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, 21737710 + ... + 25070829.

It is an arithmetic number, because the mean of its divisors is an integer number (919394619264).

Almost surely, 2^{78009238755840} is an apocalyptic number.

78009238755840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78009238755840 is an abundant number, since it is smaller than the sum of its proper divisors (216197039408640).

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

78009238755840 is a wasteful number, since it uses less digits than its factorization.

78009238755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46808603 (or 46808587 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 78009238755840 in words is "seventy-eight trillion, nine billion, two hundred thirty-eight million, seven hundred fifty-five thousand, eight hundred forty".