76737240 has 128 divisors (see below), whose sum is σ = 262180800. Its totient is φ = 19952640.

The previous prime is 76737233. The next prime is 76737253. The reversal of 76737240 is 4273767.

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 = 76737195 and 76737204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43414 + ... + 45146.

Almost surely, 2^76737240 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 76737240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090400).

76737240 is an abundant number, since it is smaller than the sum of its proper divisors (185443560).

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

76737240 is a wasteful number, since it uses less digits than its factorization.

76737240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 76737240 is about 8759.9794520307. The cubic root of 76737240 is about 424.9476106126.

The spelling of 76737240 in words is "seventy-six million, seven hundred thirty-seven thousand, two hundred forty".