76960416 has 48 divisors (see below), whose sum is σ = 217564704. Its totient is φ = 23679744.

The previous prime is 76960409. The next prime is 76960417. The reversal of 76960416 is 61406967.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×76960416⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (76960417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29586 + ... + 32081.

It is an arithmetic number, because the mean of its divisors is an integer number (4532598).

Almost surely, 2^76960416 is an apocalyptic number.

It is an amenable number.

76960416 is an abundant number, since it is smaller than the sum of its proper divisors (140604288).

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

76960416 is a wasteful number, since it uses less digits than its factorization.

76960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61693 (or 61685 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 76960416 is about 8772.7085897116. The cubic root of 76960416 is about 425.3591722679.

The spelling of 76960416 in words is "seventy-six million, nine hundred sixty thousand, four hundred sixteen".