75613780 has 48 divisors (see below), whose sum is σ = 177274944. Its totient is φ = 26853120.

The previous prime is 75613753. The next prime is 75613789. The reversal of 75613780 is 8731657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75613789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5464 + ... + 13456.

It is an arithmetic number, because the mean of its divisors is an integer number (3693228).

Almost surely, 2^75613780 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 75613780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88637472).

75613780 is an abundant number, since it is smaller than the sum of its proper divisors (101661164).

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

75613780 is a wasteful number, since it uses less digits than its factorization.

75613780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 8054 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 75613780 is about 8695.6184368911. The cubic root of 75613780 is about 422.8636133093.

It can be divided in two parts, 7561 and 3780, that multiplied together give a triangular number (28580580 = T₇₅₆₀).

The spelling of 75613780 in words is "seventy-five million, six hundred thirteen thousand, seven hundred eighty".