75020400 has 360 divisors, whose sum is σ = 321819680. Its totient is φ = 15759360.

The previous prime is 75020389. The next prime is 75020437. The reversal of 75020400 is 402057.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327486 + ... + 327714.

Almost surely, 2^75020400 is an apocalyptic number.

75020400 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 75020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160909840).

75020400 is an abundant number, since it is smaller than the sum of its proper divisors (246799280).

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

75020400 is a wasteful number, since it uses less digits than its factorization.

75020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75020400 is about 8661.4317523144. The cubic root of 75020400 is about 421.7545647989.

Adding to 75020400 its reverse (402057), we get a palindrome (75422457).

The spelling of 75020400 in words is "seventy-five million, twenty thousand, four hundred".