79777751040 has 896 divisors, whose sum is σ = 317070028800. Its totient is φ = 18897960960.

The previous prime is 79777751029. The next prime is 79777751041. The reversal of 79777751040 is 4015777797.

It is a happy number.

It is a super-2 number, since 2×79777751040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79777751041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445685671 + ... + 445685849.

It is an arithmetic number, because the mean of its divisors is an integer number (353872800).

Almost surely, 2^79777751040 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 79777751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158535014400).

79777751040 is an abundant number, since it is smaller than the sum of its proper divisors (237292277760).

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

79777751040 is a wasteful number, since it uses less digits than its factorization.

79777751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3025260, while the sum is 54.

The spelling of 79777751040 in words is "seventy-nine billion, seven hundred seventy-seven million, seven hundred fifty-one thousand, forty".