74856960 has 300 divisors, whose sum is σ = 282967938. Its totient is φ = 18911232.

The previous prime is 74856959. The next prime is 74856961. The reversal of 74856960 is 6965847.

74856960 = T₄₅₅ + T₄₅₆ + ... + T₈₁₅.

It is an interprime number because it is at equal distance from previous prime (74856959) and next prime (74856961).

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 7485696 = 8208^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74856961) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3939831 + ... + 3939849.

Almost surely, 2^74856960 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 74856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141483969).

74856960 is an abundant number, since it is smaller than the sum of its proper divisors (208110978).

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

74856960 is an equidigital number, since it uses as much as digits as its factorization.

74856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 74856960 is about 8651.9916782207. The cubic root of 74856960 is about 421.4480629006.

The spelling of 74856960 in words is "seventy-four million, eight hundred fifty-six thousand, nine hundred sixty".