75923680 has 48 divisors (see below), whose sum is σ = 204996960. Its totient is φ = 26030592.

The previous prime is 75923641. The next prime is 75923707. The reversal of 75923680 is 8632957.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32775 + ... + 35014.

It is an arithmetic number, because the mean of its divisors is an integer number (4270770).

Almost surely, 2^75923680 is an apocalyptic number.

75923680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75923680 is an abundant number, since it is smaller than the sum of its proper divisors (129073280).

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

75923680 is a wasteful number, since it uses less digits than its factorization.

75923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67811 (or 67803 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 75923680 is about 8713.4195354063. The cubic root of 75923680 is about 423.4405223161.

The spelling of 75923680 in words is "seventy-five million, nine hundred twenty-three thousand, six hundred eighty".