76526240 has 144 divisors (see below), whose sum is σ = 216149472. Its totient is φ = 25514496.

The previous prime is 76526239. The next prime is 76526371. The reversal of 76526240 is 4262567.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 76526197 and 76526206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337007 + ... + 337233.

It is an arithmetic number, because the mean of its divisors is an integer number (1501038).

Almost surely, 2^76526240 is an apocalyptic number.

76526240 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 76526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108074736).

76526240 is an abundant number, since it is smaller than the sum of its proper divisors (139623232).

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

76526240 is a wasteful number, since it uses less digits than its factorization.

76526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 76526240 is about 8747.9277546171. The cubic root of 76526240 is about 424.5577683714.

The spelling of 76526240 in words is "seventy-six million, five hundred twenty-six thousand, two hundred forty".