78057744 has 80 divisors (see below), whose sum is σ = 214896960. Its totient is φ = 24414720.

The previous prime is 78057739. The next prime is 78057751. The reversal of 78057744 is 44775087.

It is a super-2 number, since 2×78057744² = 12186022796739072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78057696 and 78057705.

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, 235659 + ... + 235989.

It is an arithmetic number, because the mean of its divisors is an integer number (2686212).

Almost surely, 2^78057744 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 78057744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107448480).

78057744 is an abundant number, since it is smaller than the sum of its proper divisors (136839216).

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

78057744 is a wasteful number, since it uses less digits than its factorization.

78057744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 78057744 is about 8835.0293717678. The cubic root of 78057744 is about 427.3712782317.

The spelling of 78057744 in words is "seventy-eight million, fifty-seven thousand, seven hundred forty-four".