78170815800 has 1152 divisors, whose sum is σ = 344036313600. Its totient is φ = 16166304000.

The previous prime is 78170815781. The next prime is 78170815823. The reversal of 78170815800 is 851807187.

It is a super-2 number, since 2×78170815800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 370477695 + ... + 370477905.

Almost surely, 2^78170815800 is an apocalyptic number.

78170815800 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 78170815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172018156800).

78170815800 is an abundant number, since it is smaller than the sum of its proper divisors (265865497800).

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

78170815800 is a wasteful number, since it uses less digits than its factorization.

78170815800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 78170815800 in words is "seventy-eight billion, one hundred seventy million, eight hundred fifteen thousand, eight hundred".