78133680 has 160 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 20459520.

The previous prime is 78133673. The next prime is 78133687. The reversal of 78133680 is 8633187.

It is an interprime number because it is at equal distance from previous prime (78133673) and next prime (78133687).

It is a super-2 number, since 2×78133680² = 12209743900684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78133687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131464 + ... + 132056.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^78133680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

78133680 is an abundant number, since it is smaller than the sum of its proper divisors (195866640).

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

78133680 is a wasteful number, since it uses less digits than its factorization.

78133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78133680 is about 8839.3257661430. The cubic root of 78133680 is about 427.5098181802.

The spelling of 78133680 in words is "seventy-eight million, one hundred thirty-three thousand, six hundred eighty".