78103676277900 has 3888 divisors, whose sum is σ = 348291241683840. Its totient is φ = 14455745740800.

The previous prime is 78103676277871. The next prime is 78103676277947. The reversal of 78103676277900 is 977267630187.

It is a super-2 number, since 2×78103676277900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 277949025760 + ... + 277949026040.

It is an arithmetic number, because the mean of its divisors is an integer number (89581080680).

Almost surely, 2^{78103676277900} is an apocalyptic number.

78103676277900 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 78103676277900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174145620841920).

78103676277900 is an abundant number, since it is smaller than the sum of its proper divisors (270187565405940).

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

78103676277900 is a wasteful number, since it uses less digits than its factorization.

78103676277900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 78103676277900 in words is "seventy-eight trillion, one hundred three billion, six hundred seventy-six million, two hundred seventy-seven thousand, nine hundred".