74687760 has 360 divisors, whose sum is σ = 305973720. Its totient is φ = 16257024.

The previous prime is 74687713. The next prime is 74687761. The reversal of 74687760 is 6778647.

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 65028096 = 3108^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×74687760² = 11156522987635200, which contains 22 as substring.

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 (74687761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1023084 + ... + 1023156.

It is an arithmetic number, because the mean of its divisors is an integer number (849927).

Almost surely, 2^74687760 is an apocalyptic number.

74687760 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 74687760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152986860).

74687760 is an abundant number, since it is smaller than the sum of its proper divisors (231285960).

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

74687760 is a wasteful number, since it uses less digits than its factorization.

74687760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 74687760 is about 8642.2080511869. The cubic root of 74687760 is about 421.1302888123.

The spelling of 74687760 in words is "seventy-four million, six hundred eighty-seven thousand, seven hundred sixty".