74620800 has 144 divisors (see below), whose sum is σ = 266366880. Its totient is φ = 19891200.

The previous prime is 74620789. The next prime is 74620811. The reversal of 74620800 is 802647.

It is an interprime number because it is at equal distance from previous prime (74620789) and next prime (74620811).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27505 + ... + 30095.

It is an arithmetic number, because the mean of its divisors is an integer number (1849770).

Almost surely, 2^74620800 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 74620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

74620800 is an abundant number, since it is smaller than the sum of its proper divisors (191746080).

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

74620800 is a wasteful number, since it uses less digits than its factorization.

74620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74620800 is about 8638.3331725513. Note that the first 3 decimals coincide. The cubic root of 74620800 is about 421.0043988610.

The spelling of 74620800 in words is "seventy-four million, six hundred twenty thousand, eight hundred".