76749840 has 240 divisors, whose sum is σ = 274916928. Its totient is φ = 19160064.

The previous prime is 76749839. The next prime is 76749847. The reversal of 76749840 is 4894767.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76749847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145487 + ... + 1145553.

Almost surely, 2^76749840 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 76749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137458464).

76749840 is an abundant number, since it is smaller than the sum of its proper divisors (198167088).

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

76749840 is a wasteful number, since it uses less digits than its factorization.

76749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76749840 is about 8760.6986022805. The cubic root of 76749840 is about 424.9708676686.

The spelling of 76749840 in words is "seventy-six million, seven hundred forty-nine thousand, eight hundred forty".