78295940 has 48 divisors (see below), whose sum is σ = 172957680. Its totient is φ = 29729280.

The previous prime is 78295927. The next prime is 78295957. The reversal of 78295940 is 4959287.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8836 + 78287104 = 94^2 + 8848^2 .

It is a super-2 number, since 2×78295940² = 12260508440967200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78295891 and 78295900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34274 + ... + 36486.

It is an arithmetic number, because the mean of its divisors is an integer number (3603285).

Almost surely, 2^78295940 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 78295940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86478840).

78295940 is an abundant number, since it is smaller than the sum of its proper divisors (94661740).

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

78295940 is a wasteful number, since it uses less digits than its factorization.

78295940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 78295940 is about 8848.4993077923. The cubic root of 78295940 is about 427.8055497171.

The spelling of 78295940 in words is "seventy-eight million, two hundred ninety-five thousand, nine hundred forty".