74813760 has 224 divisors, whose sum is σ = 301873920. Its totient is φ = 17086464.

The previous prime is 74813759. The next prime is 74813777. The reversal of 74813760 is 6731847.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59862 + ... + 61098.

Almost surely, 2^74813760 is an apocalyptic number.

74813760 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 74813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150936960).

74813760 is an abundant number, since it is smaller than the sum of its proper divisors (227060160).

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

74813760 is a wasteful number, since it uses less digits than its factorization.

74813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 74813760 is about 8649.4947829339. The cubic root of 74813760 is about 421.3669746501.

The spelling of 74813760 in words is "seventy-four million, eight hundred thirteen thousand, seven hundred sixty".