75497400 has 384 divisors, whose sum is σ = 299980800. Its totient is φ = 17280000.

The previous prime is 75497363. The next prime is 75497413. The reversal of 75497400 is 479457.

75497400 = T₁₂₁ + T₁₂₂ + ... + T₇₆₈.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1841380 + ... + 1841420.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^75497400 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 75497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

75497400 is an abundant number, since it is smaller than the sum of its proper divisors (224483400).

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

75497400 is a wasteful number, since it uses less digits than its factorization.

75497400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75497400 is about 8688.9239840155. The cubic root of 75497400 is about 422.6465535027.

The spelling of 75497400 in words is "seventy-five million, four hundred ninety-seven thousand, four hundred".