75792640 has 144 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 23592960.

The previous prime is 75792601. The next prime is 75792697. The reversal of 75792640 is 4629757.

75792640 = T₁ + T₂ + ... + T₇₆₈.

75792640 is a nontrivial binomial coefficient, being equal to C(770, 3).

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

It is a junction number, because it is equal to n+sod(n) for n = 75792593 and 75792602.

It is a congruent number.

It is an unprimeable number.

It is the 768-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98176 + ... + 98944.

It is an arithmetic number, because the mean of its divisors is an integer number (1573880).

Almost surely, 2^75792640 is an apocalyptic number.

75792640 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 75792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

75792640 is an abundant number, since it is smaller than the sum of its proper divisors (150846080).

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

75792640 is a wasteful number, since it uses less digits than its factorization.

75792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 75792640 is about 8705.8968521342. The cubic root of 75792640 is about 423.1967705224.

The spelling of 75792640 in words is "seventy-five million, seven hundred ninety-two thousand, six hundred forty".