76961041920 has 800 divisors, whose sum is σ = 323768795328. Its totient is φ = 17103716352.

The previous prime is 76961041897. The next prime is 76961041961. The reversal of 76961041920 is 2914016967.

76961041920 is a `hidden beast` number, since 7 + 6 + 9 + 610 + 4 + 1 + 9 + 20 = 666.

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 79 ways as a sum of consecutive naturals, for example, 53705524 + ... + 53706956.

Almost surely, 2^76961041920 is an apocalyptic number.

76961041920 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 76961041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884397664).

76961041920 is an abundant number, since it is smaller than the sum of its proper divisors (246807753408).

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

76961041920 is a wasteful number, since it uses less digits than its factorization.

76961041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1487 counting only the distinct ones).

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

The spelling of 76961041920 in words is "seventy-six billion, nine hundred sixty-one million, forty-one thousand, nine hundred twenty".