76881240 has 144 divisors (see below), whose sum is σ = 261069120. Its totient is φ = 19601280.

The previous prime is 76881221. The next prime is 76881241. The reversal of 76881240 is 4218867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76881195 and 76881204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76881241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 926239 + ... + 926321.

It is an arithmetic number, because the mean of its divisors is an integer number (1812980).

Almost surely, 2^76881240 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 76881240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130534560).

76881240 is an abundant number, since it is smaller than the sum of its proper divisors (184187880).

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

76881240 is a wasteful number, since it uses less digits than its factorization.

76881240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76881240 is about 8768.1947971062. The cubic root of 76881240 is about 425.2132539918.

The spelling of 76881240 in words is "seventy-six million, eight hundred eighty-one thousand, two hundred forty".