76302240 has 96 divisors (see below), whose sum is σ = 274700160. Its totient is φ = 17439744.

The previous prime is 76302223. The next prime is 76302283. The reversal of 76302240 is 4220367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 76302240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7995 + ... + 14714.

It is an arithmetic number, because the mean of its divisors is an integer number (2861460).

Almost surely, 2^76302240 is an apocalyptic number.

76302240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76302240 is an abundant number, since it is smaller than the sum of its proper divisors (198397920).

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

76302240 is a wasteful number, since it uses less digits than its factorization.

76302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22734 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 76302240 is about 8735.1153398224. The cubic root of 76302240 is about 424.1431224438.

It can be divided in two parts, 7630 and 2240, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 76302240 in words is "seventy-six million, three hundred two thousand, two hundred forty".