76362240 has 160 divisors (see below), whose sum is σ = 249644736. Its totient is φ = 19906560.

The previous prime is 76362233. The next prime is 76362257. The reversal of 76362240 is 4226367.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76362198 and 76362207.

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, 468399 + ... + 468561.

Almost surely, 2^76362240 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 76362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124822368).

76362240 is an abundant number, since it is smaller than the sum of its proper divisors (173282496).

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

76362240 is a wasteful number, since it uses less digits than its factorization.

76362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 76362240 is about 8738.5490786514. The cubic root of 76362240 is about 424.2542678038.

The spelling of 76362240 in words is "seventy-six million, three hundred sixty-two thousand, two hundred forty".