78892240 has 80 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 25454592.

The previous prime is 78892217. The next prime is 78892243. The reversal of 78892240 is 4229887.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 78892193 and 78892202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78892243) 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 15 ways as a sum of consecutive naturals, for example, 5377 + ... + 13663.

Almost surely, 2^78892240 is an apocalyptic number.

78892240 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 78892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

78892240 is an abundant number, since it is smaller than the sum of its proper divisors (143093552).

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

78892240 is a wasteful number, since it uses less digits than its factorization.

78892240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 78892240 is about 8882.1303750846. The cubic root of 78892240 is about 428.8888564744. Note that the first 4 decimals are identical.

The spelling of 78892240 in words is "seventy-eight million, eight hundred ninety-two thousand, two hundred forty".