78140832 has 216 divisors, whose sum is σ = 266251104. Its totient is φ = 19641600.

The previous prime is 78140831. The next prime is 78140833. The reversal of 78140832 is 23804187.

It is an interprime number because it is at equal distance from previous prime (78140831) and next prime (78140833).

It is a super-2 number, since 2×78140832² = 12211979251304448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 78140793 and 78140802.

It is not an unprimeable number, because it can be changed into a prime (78140831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2520657 + ... + 2520687.

It is an arithmetic number, because the mean of its divisors is an integer number (1232644).

Almost surely, 2^78140832 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 78140832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133125552).

78140832 is an abundant number, since it is smaller than the sum of its proper divisors (188110272).

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

78140832 is a wasteful number, since it uses less digits than its factorization.

78140832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78140832 is about 8839.7303126283. The cubic root of 78140832 is about 427.5228618805.

Multiplying 78140832 by its product of nonzero digits (10752), we get a square (840170225664 = 916608²).

The spelling of 78140832 in words is "seventy-eight million, one hundred forty thousand, eight hundred thirty-two".