78375840 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 20788224.

The previous prime is 78375839. The next prime is 78375853. The reversal of 78375840 is 4857387.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78375840² = 12285544591411200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78375792 and 78375801.

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, 128817 + ... + 129423.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^78375840 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 78375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

78375840 is an abundant number, since it is smaller than the sum of its proper divisors (169834080).

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

78375840 is a wasteful number, since it uses less digits than its factorization.

78375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 78375840 is about 8853.0130464153. The cubic root of 78375840 is about 427.9510235978.

The spelling of 78375840 in words is "seventy-eight million, three hundred seventy-five thousand, eight hundred forty".