76697280 has 280 divisors, whose sum is σ = 298734480. Its totient is φ = 18524160.

The previous prime is 76697267. The next prime is 76697293. The reversal of 76697280 is 8279667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76697267) and next prime (76697293).

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 39 ways as a sum of consecutive naturals, for example, 284986 + ... + 285254.

Almost surely, 2^76697280 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 76697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149367240).

76697280 is an abundant number, since it is smaller than the sum of its proper divisors (222037200).

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

76697280 is a wasteful number, since it uses less digits than its factorization.

76697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

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

The square root of 76697280 is about 8757.6983277571. The cubic root of 76697280 is about 424.8738356766.

The spelling of 76697280 in words is "seventy-six million, six hundred ninety-seven thousand, two hundred eighty".