70779920 has 40 divisors (see below), whose sum is σ = 166429080. Its totient is φ = 27991040.

The previous prime is 70779893. The next prime is 70779941. The reversal of 70779920 is 2997707.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3671056 + 67108864 = 1916^2 + 8192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2150 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (4160727).

Almost surely, 2^70779920 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 70779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83214540).

70779920 is an abundant number, since it is smaller than the sum of its proper divisors (95649160).

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

70779920 is a wasteful number, since it uses less digits than its factorization.

70779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10043 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 41.

The square root of 70779920 is about 8413.0802920215. The cubic root of 70779920 is about 413.6534864926.

The spelling of 70779920 in words is "seventy million, seven hundred seventy-nine thousand, nine hundred twenty".