78029560 has 96 divisors (see below), whose sum is σ = 209427120. Its totient is φ = 26073600.

The previous prime is 78029531. The next prime is 78029597. The reversal of 78029560 is 6592087.

It is a super-2 number, since 2×78029560² = 12177224467587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79875 + ... + 80845.

Almost surely, 2^78029560 is an apocalyptic number.

78029560 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 78029560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104713560).

78029560 is an abundant number, since it is smaller than the sum of its proper divisors (131397560).

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

78029560 is a wasteful number, since it uses less digits than its factorization.

78029560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 78029560 is about 8833.4342132604. The cubic root of 78029560 is about 427.3198356224.

The spelling of 78029560 in words is "seventy-eight million, twenty-nine thousand, five hundred sixty".