76895280 has 480 divisors, whose sum is σ = 343549440. Its totient is φ = 14929920.

The previous prime is 76895251. The next prime is 76895281. The reversal of 76895280 is 8259867.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76895281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053324 + ... + 1053396.

It is an arithmetic number, because the mean of its divisors is an integer number (715728).

Almost surely, 2^76895280 is an apocalyptic number.

76895280 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 76895280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171774720).

76895280 is an abundant number, since it is smaller than the sum of its proper divisors (266654160).

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

76895280 is a wasteful number, since it uses less digits than its factorization.

76895280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 76895280 is about 8768.9953814562. The cubic root of 76895280 is about 425.2391364685.

The spelling of 76895280 in words is "seventy-six million, eight hundred ninety-five thousand, two hundred eighty".