76991040 has 448 divisors, whose sum is σ = 331622400. Its totient is φ = 16422912.

The previous prime is 76991023. The next prime is 76991053. The reversal of 76991040 is 4019967.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 76990986 and 76991004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149087 + ... + 1149153.

Almost surely, 2^76991040 is an apocalyptic number.

76991040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

76991040 is an abundant number, since it is smaller than the sum of its proper divisors (254631360).

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

76991040 is a wasteful number, since it uses less digits than its factorization.

76991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 76991040 is about 8774.4538291565. The cubic root of 76991040 is about 425.4155842632.

It can be divided in two parts, 769 and 91040, that added together give a square (91809 = 303²).

The spelling of 76991040 in words is "seventy-six million, nine hundred ninety-one thousand, forty".