76801500 has 96 divisors (see below), whose sum is σ = 248539200. Its totient is φ = 20476800.

The previous prime is 76801489. The next prime is 76801507. The reversal of 76801500 is 510867.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76801507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10656 + ... + 16344.

It is an arithmetic number, because the mean of its divisors is an integer number (2588950).

Almost surely, 2^76801500 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 76801500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124269600).

76801500 is an abundant number, since it is smaller than the sum of its proper divisors (171737700).

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

76801500 is a wasteful number, since it uses less digits than its factorization.

76801500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 76801500 is about 8763.6465013144. The cubic root of 76801500 is about 425.0661949951.

It can be divided in two parts, 7680 and 1500, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 76801500 in words is "seventy-six million, eight hundred one thousand, five hundred".