74965800 has 192 divisors, whose sum is σ = 286231680. Its totient is φ = 15805440.

The previous prime is 74965777. The next prime is 74965837. The reversal of 74965800 is 856947.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53914 + ... + 55286.

It is an arithmetic number, because the mean of its divisors is an integer number (1490790).

Almost surely, 2^74965800 is an apocalyptic number.

74965800 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 74965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143115840).

74965800 is an abundant number, since it is smaller than the sum of its proper divisors (211265880).

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

74965800 is a wasteful number, since it uses less digits than its factorization.

74965800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 74965800 is about 8658.2792747751. The cubic root of 74965800 is about 421.6522220225.

The spelling of 74965800 in words is "seventy-four million, nine hundred sixty-five thousand, eight hundred".