76769280 has 432 divisors, whose sum is σ = 327714660. Its totient is φ = 16515072.

The previous prime is 76769279. The next prime is 76769309. The reversal of 76769280 is 8296767.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 451584 = 8736^2 + 672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515832 + ... + 4515848.

Almost surely, 2^76769280 is an apocalyptic number.

76769280 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 76769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163857330).

76769280 is an abundant number, since it is smaller than the sum of its proper divisors (250945380).

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

76769280 is a wasteful number, since it uses less digits than its factorization.

76769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

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

The square root of 76769280 is about 8761.8080325924. The cubic root of 76769280 is about 425.0067449910.

The spelling of 76769280 in words is "seventy-six million, seven hundred sixty-nine thousand, two hundred eighty".