76987260 has 288 divisors, whose sum is σ = 289615872. Its totient is φ = 16796160.

The previous prime is 76987241. The next prime is 76987289. The reversal of 76987260 is 6278967.

It is a happy number.

It is a super-3 number, since 3×76987260³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054584 + ... + 1054656.

Almost surely, 2^76987260 is an apocalyptic number.

76987260 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 76987260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144807936).

76987260 is an abundant number, since it is smaller than the sum of its proper divisors (212628612).

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

76987260 is a wasteful number, since it uses less digits than its factorization.

76987260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 76987260 is about 8774.2384284905. The cubic root of 76987260 is about 425.4086219932.

The spelling of 76987260 in words is "seventy-six million, nine hundred eighty-seven thousand, two hundred sixty".