74787720 has 256 divisors, whose sum is σ = 276480000. Its totient is φ = 16144128.

The previous prime is 74787677. The next prime is 74787749. The reversal of 74787720 is 2778747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946641 + ... + 946719.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^74787720 is an apocalyptic number.

74787720 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 74787720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000).

74787720 is an abundant number, since it is smaller than the sum of its proper divisors (201692280).

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

74787720 is a wasteful number, since it uses less digits than its factorization.

74787720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 74787720 is about 8647.9893616956. The cubic root of 74787720 is about 421.3180813748.

The spelling of 74787720 in words is "seventy-four million, seven hundred eighty-seven thousand, seven hundred twenty".