76774320 has 120 divisors (see below), whose sum is σ = 294686496. Its totient is φ = 17547264.

The previous prime is 76774309. The next prime is 76774331. The reversal of 76774320 is 2347767.

It is an interprime number because it is at equal distance from previous prime (76774309) and next prime (76774331).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×76774320² = 11788592422924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2577 + ... + 12656.

Almost surely, 2^76774320 is an apocalyptic number.

76774320 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 76774320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147343248).

76774320 is an abundant number, since it is smaller than the sum of its proper divisors (217912176).

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

76774320 is a wasteful number, since it uses less digits than its factorization.

76774320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15250 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 76774320 is about 8762.0956397428. The cubic root of 76774320 is about 425.0160455303.

The spelling of 76774320 in words is "seventy-six million, seven hundred seventy-four thousand, three hundred twenty".