70479760 has 80 divisors (see below), whose sum is σ = 177957360. Its totient is φ = 25958400.

The previous prime is 70479757. The next prime is 70479763. The reversal of 70479760 is 6797407.

70479760 = T₁₄₄₀ + T₁₄₄₁ + ... + T₁₅₀₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70479757) and next prime (70479763).

It can be written as a sum of positive squares in 8 ways, for example, as 29724304 + 40755456 = 5452^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (70479763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175560 + ... + 175960.

It is an arithmetic number, because the mean of its divisors is an integer number (2224467).

Almost surely, 2^70479760 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 70479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88978680).

70479760 is an abundant number, since it is smaller than the sum of its proper divisors (107477600).

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

70479760 is a wasteful number, since it uses less digits than its factorization.

70479760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 70479760 is about 8395.2224508943. Note that the first 3 decimals coincide. The cubic root of 70479760 is about 413.0679241897.

It can be divided in two parts, 7047 and 9760, that added together give a 5-th power (16807 = 7⁵).

The spelling of 70479760 in words is "seventy million, four hundred seventy-nine thousand, seven hundred sixty".