76749088 has 72 divisors (see below), whose sum is σ = 168650748. Its totient is φ = 34165248.

The previous prime is 76749077. The next prime is 76749107. The reversal of 76749088 is 88094767.

It can be written as a sum of positive squares in 2 ways, for example, as 76247824 + 501264 = 8732^2 + 708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300803 + ... + 1300861.

Almost surely, 2^76749088 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 76749088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84325374).

76749088 is an abundant number, since it is smaller than the sum of its proper divisors (91901660).

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

76749088 is a wasteful number, since it uses less digits than its factorization.

76749088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 76749088 is about 8760.6556832237. The cubic root of 76749088 is about 424.9694796999.

It can be divided in two parts, 767 and 49088, that multiplied together give a square (37650496 = 6136²).

The spelling of 76749088 in words is "seventy-six million, seven hundred forty-nine thousand, eighty-eight".