76198080 has 448 divisors, whose sum is σ = 316016640. Its totient is φ = 15138816.

The previous prime is 76198069. The next prime is 76198081. The reversal of 76198080 is 8089167.

76198080 = T₁₀₄ + T₁₀₅ + ... + T₇₇₀.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×76198080² = 11612294791372800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76198081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627506 + ... + 2627534.

Almost surely, 2^76198080 is an apocalyptic number.

76198080 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 76198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

76198080 is an abundant number, since it is smaller than the sum of its proper divisors (239818560).

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

76198080 is a wasteful number, since it uses less digits than its factorization.

76198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 76198080 is about 8729.1511614819. The cubic root of 76198080 is about 423.9500356456.

The spelling of 76198080 in words is "seventy-six million, one hundred ninety-eight thousand, eighty".