78157040 has 80 divisors (see below), whose sum is σ = 197154048. Its totient is φ = 28643328.

The previous prime is 78157031. The next prime is 78157049. The reversal of 78157040 is 4075187.

It is an interprime number because it is at equal distance from previous prime (78157031) and next prime (78157049).

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

It is a super-2 number, since 2×78157040² = 12217045803123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78156988 and 78157006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78157049) 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 15 ways as a sum of consecutive naturals, for example, 231752 + ... + 232088.

Almost surely, 2^78157040 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 78157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

78157040 is an abundant number, since it is smaller than the sum of its proper divisors (118997008).

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

78157040 is a wasteful number, since it uses less digits than its factorization.

78157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 78157040 is about 8840.6470351440. The cubic root of 78157040 is about 427.5524188199.

The spelling of 78157040 in words is "seventy-eight million, one hundred fifty-seven thousand, forty".