76400997120 has 288 divisors, whose sum is σ = 309849469440. Its totient is φ = 17463029760.

The previous prime is 76400997097. The next prime is 76400997121. The reversal of 76400997120 is 2179900467.

76400997120 is a `hidden beast` number, since 76 + 400 + 99 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×76400997120² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76400997121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84015 + ... + 399825.

Almost surely, 2^76400997120 is an apocalyptic number.

76400997120 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 76400997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154924734720).

76400997120 is an abundant number, since it is smaller than the sum of its proper divisors (233448472320).

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

76400997120 is a wasteful number, since it uses less digits than its factorization.

76400997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315848 (or 315828 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 76400997120 in words is "seventy-six billion, four hundred million, nine hundred ninety-seven thousand, one hundred twenty".