76098960 has 240 divisors, whose sum is σ = 305337600. Its totient is φ = 17369856.

The previous prime is 76098943. The next prime is 76098977. The reversal of 76098960 is 6989067.

It is an interprime number because it is at equal distance from previous prime (76098943) and next prime (76098977).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105481 + ... + 106199.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^76098960 is an apocalyptic number.

76098960 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 76098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

76098960 is an abundant number, since it is smaller than the sum of its proper divisors (229238640).

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

76098960 is a wasteful number, since it uses less digits than its factorization.

76098960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 76098960 is about 8723.4717859348. The cubic root of 76098960 is about 423.7661282921.

The spelling of 76098960 in words is "seventy-six million, ninety-eight thousand, nine hundred sixty".