78271900 has 72 divisors (see below), whose sum is σ = 200431616. Its totient is φ = 25963200.

The previous prime is 78271889. The next prime is 78271903. The reversal of 78271900 is 917287.

It is a super-2 number, since 2×78271900² = 12252980659220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78271903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19897 + ... + 23503.

Almost surely, 2^78271900 is an apocalyptic number.

78271900 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 78271900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100215808).

78271900 is an abundant number, since it is smaller than the sum of its proper divisors (122159716).

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

78271900 is a wasteful number, since it uses less digits than its factorization.

78271900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 78271900 is about 8847.1407810659. The cubic root of 78271900 is about 427.7617607366.

The spelling of 78271900 in words is "seventy-eight million, two hundred seventy-one thousand, nine hundred".