78032640 has 144 divisors (see below), whose sum is σ = 284917248. Its totient is φ = 17829888.

The previous prime is 78032623. The next prime is 78032651. The reversal of 78032640 is 4623087.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 78032598 and 78032607.

It is a congruent number.

It is an unprimeable number.

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, 25429 + ... + 28331.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 2^78032640 is an apocalyptic number.

78032640 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 78032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624).

78032640 is an abundant number, since it is smaller than the sum of its proper divisors (206884608).

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

78032640 is a wasteful number, since it uses less digits than its factorization.

78032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78032640 is about 8833.6085491717. The cubic root of 78032640 is about 427.3254579694.

The spelling of 78032640 in words is "seventy-eight million, thirty-two thousand, six hundred forty".