75786480 has 240 divisors, whose sum is σ = 317551104. Its totient is φ = 15736320.

The previous prime is 75786479. The next prime is 75786509. The reversal of 75786480 is 8468757.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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, 54757 + ... + 56123.

Almost surely, 2^75786480 is an apocalyptic number.

75786480 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 75786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

75786480 is an abundant number, since it is smaller than the sum of its proper divisors (241764624).

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

75786480 is a wasteful number, since it uses less digits than its factorization.

75786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75786480 is about 8705.5430617509. The cubic root of 75786480 is about 423.1853051931.

The spelling of 75786480 in words is "seventy-five million, seven hundred eighty-six thousand, four hundred eighty".