76379240 has 128 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 24724224.

The previous prime is 76379231. The next prime is 76379267. The reversal of 76379240 is 4297367.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 76379194 and 76379203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260534 + ... + 260826.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 2^76379240 is an apocalyptic number.

76379240 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 76379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

76379240 is an abundant number, since it is smaller than the sum of its proper divisors (135300760).

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

76379240 is a wasteful number, since it uses less digits than its factorization.

76379240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 76379240 is about 8739.5217260443. The cubic root of 76379240 is about 424.2857484038.

The spelling of 76379240 in words is "seventy-six million, three hundred seventy-nine thousand, two hundred forty".