76698960 has 240 divisors, whose sum is σ = 270125568. Its totient is φ = 17971200.

The previous prime is 76698913. The next prime is 76698961. The reversal of 76698960 is 6989667.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76698961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257330 + ... + 1257390.

Almost surely, 2^76698960 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 76698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135062784).

76698960 is an abundant number, since it is smaller than the sum of its proper divisors (193426608).

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

76698960 is a wasteful number, since it uses less digits than its factorization.

76698960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 76698960 is about 8757.7942428445. The cubic root of 76698960 is about 424.8769378415.

The spelling of 76698960 in words is "seventy-six million, six hundred ninety-eight thousand, nine hundred sixty".